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# Why 12/sqrt2 equals 6sqrt2?

### 4 Answers

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- 1 decade ago
12/sqrt2 * sqrt 2 / sqrt 2

= 12 sqrt 2 / 2

=6sqrt2

you multiply it by sqrt 2 / sqrt 2 because that also equals to 1, therefore, u r not really doing anything to the original number.

i hope this helps :D

- 1 decade ago
12/sqrt2

Multiplying both numerator and denominator with sqrt2,we get

12*sqrt2/sqrt2*sqrt2=12*sqrt2/2

because sqrt2*sqrt2=sqrt(2*2)=sqrt(4)=2

12*sqrt(2)/2=6*sqrt(2)

- 1 decade ago
well,

try mutiplying 12/sqrt(2) with sqrt(2)/sqrt(2) (which is 1)

you'll get 12sqrt(2)/2 = 6sqrt(2)

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