How do you find square root of 1256?

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How do you find square root of 1256?

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Answer 1 · 2015-09-21T03:49:57

It is $\sqrt{1256} = \sqrt{4 \cdot 314} = 2 \sqrt{314} = 35.44$ $sqrt(1256)=sqrt(4*314)=2sqrt314=35.44$

Answer 2 · 2015-09-21T06:08:37

$2 \sqrt{314}$ $2sqrt(314)$

Explanation:

Factor out 1256 completely to check if there are any perfect squares.

$\sqrt{1256}$ $sqrt1256$
$= \sqrt{2 \cdot 2 \cdot 2 \cdot 157}$ $=sqrt(2*2*2*157)$
$= 2 \sqrt{2 \cdot 157}$ $=2sqrt(2*157)$
$= 2 \sqrt{314}$ $=2sqrt(314)$

You can't simplify it further than that. :)

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How do you find square root of 1256?

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