What is the square root of 160?

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What is the square root of 160?

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Answer 1 · 2018-05-23T12:17:08

The result can be shown in both exact and decimal forms.
Exact Form:

$4 \sqrt{10}$ $4sqrt10$

Decimal Form:

$12.64911064 \dots$ $12.64911064…$

Explanation:

Rewrite $160$ $160$ as $\sqrt{4 \times 10}$ $sqrt(4 xx 10)$

$\sqrt{4 \times 10}$ $sqrt(4 xx 10$ = $4 \sqrt{10}$ $4sqrt10$

The result can be shown in both exact and decimal forms.
Exact Form:

$4 \sqrt{10}$ $4sqrt10$

Decimal Form:

$12.64911064 \dots$ $12.64911064…$
.

Answer 2 · 2018-05-23T12:18:39

See a solution process below:

Explanation:

We can rewrite this expression as:

$\sqrt{160} \Rightarrow \sqrt{16 \cdot 10}$ $sqrt(160) => sqrt(16 * 10)$

Now, we can use this rule for radicals to simplify the expression:

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

$\sqrt{16 \cdot 10} \Rightarrow \sqrt{16} \cdot \sqrt{10} \Rightarrow 4 \sqrt{10}$ $sqrt(color(red)(16) * color(blue)(10)) => sqrt(color(red)(16)) * sqrt(color(blue)(10)) => 4sqrt(10)$

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What is the square root of 160?

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