Algebra/Arithmetic/Root Problem Answers

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Return to Roots Arithmetic Root Problem Answers Go to Order of Operations

Problem 1[edit]

\sqrt{25} or 25 ^ {\left ( \frac{1}{2} \right )}

Answer

5

Problem 2[edit]

27 ^ {\left ( \frac{1}{3} \right )} or \sqrt[3]{27}

Answer

(27)^{\left ( \frac{1}{3} \right )} = 3 because (3*3*3) or 3^3 = 27 then the cube root of 27 is 3.

Problem 3[edit]

\sqrt[4]{648+648}+8 or (648+648)^\frac{1}{4}+8

Answer

\sqrt[4]{1296}+8 = 6 + 8 = 14

Problem 4[edit]

512^\frac{2}{3} or (\sqrt[3]{512})^{2}

Answer

(512)^\frac{2}{3} = (8)^{2} = 64

You take the root (denominator) first and then take the numerator.