# Simplify The square root of 363

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`sqrt363`

We know that;

`363 = 3xx121`

`sqrt363 = sqrt(3xx121)`

`sqrt363 = sqrt3xxsqrt121`

`sqrt363 = sqrt3xxsqrt(11^2)`

`sqrt363 = sqrt3xx11`

`sqrt363 = 11sqrt3`

** So the answer is** `11sqrt3`

Let number be x whose square be 363 i.e.

`x^2=363`

`x^2=3xx11xx11`

`sqrt(x^2)=+-sqrt(3xx11xx11)`

`x=+-11sqrt(3)`