# Algebra/Arithmetic/Root Problem Answers

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## Problem 1

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

Answer

5

## Problem 2

$27 ^ {\left ( \frac{1}{3} \right )}$ 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

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

Answer

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

## Problem 4

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

Answer

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

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