What is the square root of 700?

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Answer 1 · 2018-05-26T10:56:45

$10 \sqrt{7} \leftarrow Exact answer$ $10sqrt(7) larr" Exact answer"$

$26.457513... -> 26.46$ Approximate answer to 2 decimal places

Before we start note that 7 is a prime number.

You need to look for squared values that you can 'take outside' the root.

Write 700 as $7xx100$

Not that 100 is the same as $4xx25 ->2^2xx5^2$ giving:

$sqrt(700) = sqrt(7xx2^2xx5^2)$

$color(white)("dddddddd")2xx5xxsqrt(7)$

$color(white)("dddddddd")10sqrt(7) larr" Exact answer"$