Breakdown into Prime Factors: First, let's break down 125 into its prime factors. 125 = 5 × 5 × 5Rewrite as Product: Now, we rewrite sqrt(125) as sqrt(5 × 5 × 5). That's like sqrt(5^2 × 5).Take Out Square Root: We know that sqrt(5^2) is just 5, so we can take that out of the square root. So, it's 5 times sqrt(5).Final Simplified Form: That means the simplified form is 5 sqrt(5).

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Simplify. $\newline$ $\sqrt{125}$

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Math Problems

Algebra 1

Simplify radical expressions

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Q. Simplify.

\newline

\sqrt{125}

Breakdown into Prime Factors: First, let's break down $125$ into its prime factors. $\newline$ $125 = 5 \times 5 \times 5$
Rewrite as Product: Now, we rewrite $\sqrt{125}$ as $\sqrt{5 \times 5 \times 5}$ . That's like $\sqrt{5^2 \times 5}$ .
Take Out Square Root: We know that $\sqrt{5^2}$ is just $5$ , so we can take that out of the square root. $\newline$ So, it's $5$ times $\sqrt{5}$ .
Final Simplified Form: That means the simplified form is $5 \sqrt{5}$ .