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Simplify The square root of 363

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rosey-girl | Student, Grade 12 | (Level 1) Valedictorian

Posted September 5, 2013 at 2:58 AM via web

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Simplify

The square root of 363

2 Answers | Add Yours

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted September 5, 2013 at 3:04 AM (Answer #1)

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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`

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aruv | High School Teacher | (Level 2) Valedictorian

Posted September 5, 2013 at 5:08 AM (Answer #2)

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

`x^2=363`

`x^2=3xx11xx11`

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

`x=+-11sqrt(3)`

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