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Questions and Answers of College Algebra

Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first. (r + 2z)3/2
Simplify. -√48
Graph each function, and give its domain and range. E-XA = (x)ƒ
Perform the indicated operations. Assume that all variables represent positive real numbers. 12 16 + 48 64
Multiply. Give answers in standard form. (3i)(27i)
Simplify. Assume that all variables represent positive real numbers. V6. √5
Solve each equation. 2x + 5 = √6x + 1
Rationalize each denominator. Assume that all variables represent positive real numbers. 7 2
Simplify. -√28
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. V15
Perform the indicated operations. Assume that all variables represent positive real numbers. √32 2√2 21 + 3 3 √2 √9
Graph each function, and give its domain and range. 1+xA = (x)ƒ I+
Multiply. Give answers in standard form. (5i) (125i)
Solve each equation. Vp+5 = √2p - 4
Simplify. Assume that all variables represent positive real numbers. . EA LA
Rationalize each denominator. Assume that all variables represent positive real numbers. 10 3
Simplify. -√24
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. V26
Perform the indicated operations. Assume that all variables represent positive real numbers. √27 2 3√3 √3 2 V4 +
Graph each function, and give its domain and range. f(x)=√x - 3
Multiply. Give answers in standard form. (-8i)(-2i)
Solve each equation. √/2m1 = √m + 13
Simplify. Assume that all variables represent positive real numbers. V20
A student simplified √48 as follows and did not receive credit for his answer.Give the correct simplified form. V48 = √4.12 = √4. √12 = 2√12
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 2V8x4 + 3√16x³
Find each root. -V0.81
Add or subtract as indicated. Give answers in standard form. (-2-3i)(-5-3i)
Solve each equation. V4x + 5 V2x + 2 = 1
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. √√/75 Vt
Rationalize each denominator. Assume that all variables represent positive real numbers. 12 91
A student incorrectly claimed that the following radical is in simplified form.Give the correct simplified form. √k4
Find each root. 0.001
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 364m + 581m³
Solve each equation. V3-3p 3= √3p + 2
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.8x3/4
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. √√√x
Rationalize each denominator. Assume that all variables represent positive real numbers. √3 /2
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first. 995/8 - (2x)2/3
Simplify. √12
Perform the indicated operations. Assume that all variables represent positive real numbers. √64 V8-V64 V16
Find each root. 0.125
Add or subtract as indicated. Give answers in standard form. (-1 + i) + (2 + 5i) + (3 + 2i)
Solve each equation. I - xt^ = + - L + x^
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. √x
Rationalize each denominator. Assume that all variables represent positive real numbers. 7 6
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first. (3p) 3/4 + 4x1/3
Simplify. V18
Perform the indicated operations. Assume that all variables represent positive real numbers. √48 V81 V9
Graph each function, and give its domain and range. f(x) = √x +3
Add or subtract as indicated. Give answers in standard form. [(7 + 3i)-(4-2i)] + (3 + i)
Solve each equation. √2√x + 11 = √4x + 2
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. Х ^^^ A
Rationalize each denominator. Assume that all variables represent positive real numbers. 9V3 V5
Simplify. "` V288
Perform the indicated operations. Assume that all variables represent positive real numbers. 2√5 √5 + 3 6
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.x-3/5
Add or subtract as indicated. Give answers in standard form. [(7+2i) + (-4- i)] - (2 + 5i)
Rationalize each denominator. Assume that all variables represent positive real numbers. 7 50
Simplify. V30
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. V212
Perform the indicated operations. Assume that all variables represent positive real numbers. 3. 50 9 +8 √₂ V8
Graph each function, and give its domain and range. f(x)=√x+1
Multiply. Give answers in standard form. (-32i)(-2i)
Solve each equation. /2k 11 = V/5k + 1 -
Simplify. Assume that all variables represent positive real numbers. V75
Rationalize each denominator. Assume that all variables represent positive real numbers. 13 75
Simplify. V46
Simplify each root. V12²
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. V510
Perform the indicated operations. Assume that all variables represent positive real numbers. 5. 288 25 +21 V2 V 18
Multiply. Give answers in standard form. 5i(-6 + 2i)
Rationalize each denominator. Assume that all variables represent positive real numbers. x A 24
Solve each equation. √x² + 5x + 1 = √√√x² + 4x
Simplify. Assume that all variables represent positive real numbers. - V 125
Multiply. Give answers in standard form. 3i(4 + 9i)
Simplify. 128
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. 4⁹
Simplify. Assume that all variables represent positive real numbers. - 108
Perform the indicated operations. Assume that all variables represent positive real numbers. 25 18 9 уб
Simplify each root. V19²
Solve each equation. /p² + 2r + 8 = √r² + 3r + 12
Perform the indicated operations. Assume that all variables represent positive real numbers. 100 y4 + 81 y10
Rationalize each denominator. Assume that all variables represent positive real numbers. 52 y
Simplify. V24
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. 8
Solve each equation. Wx + 12 = W3x-4
Multiply. Give answers in standard form. (4 + 3i)(1 - 2i)
Simplify each root. √(-10)² 2
Rationalize each denominator. Assume that all variables represent positive real numbers. -8√3 Vk
Simplify. 40
Perform the indicated operations. Assume that all variables represent positive real numbers. 3 50 V27 49 V12
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. 00 √x8
Simplify each root. V(-13)²
Multiply. Give answers in standard form. (7 - 2i) (3 + i)
Solve each equation. z + 11 = √2z + 6
Simplify. Assume that all variables represent positive real numbers. V100y7
Rationalize each denominator. Assume that all variables represent positive real numbers. -4√13 Vm
Simplify. 375
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. √₁²
Perform the indicated operations. Assume that all variables represent positive real numbers. 9. 48 25 V₂ V98 2-

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