How do you find the square root of 56?

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Answer 1 · 2018-07-06T00:59:37

$2sqrt14$

Recall the radical law

$sqrt(ab)=sqrta*sqrtb$

This means that we can rewrite the square root of the product as the product of the square roots.

We know $56=4*14$ , so this allows us to rewrite $sqrt56$ as

$sqrt4*sqrt14$

This simplifies to

$2sqrt14$

Since $14$ has no perfect square factors, we cannot factor this any further.

Hope this helps!