How do you simplify the square root of 2466?

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How do you simplify the square root of 2466?

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Answer 1 · 2018-06-27T21:56:42

See a solution process below:

Explanation:

First, rewrite the expression as:

$\sqrt{2466} \Rightarrow \sqrt{9 \cdot 274}$ $sqrt(2466) => sqrt(9 * 274)$

Then use this rule for radicals to simplify the expression:

$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$ $sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))$

$\sqrt{9 \cdot 274} \Rightarrow \sqrt{9} \cdot \sqrt{274} \Rightarrow 3 \sqrt{274}$ $sqrt(color(red)(9) * color(blue)(274)) => sqrt(color(red)(9)) * sqrt(color(blue)(274)) => 3sqrt(274)$

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How do you simplify the square root of 2466?

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