Without a calculator, is there a way to have sqrt(3) as a result when calculating this: (2)sqrt(3/4) ?

2 Answers
Apr 7, 2018

Yes. See below.

Explanation:

=> 2sqrt(3/4)

=> (2sqrt(3))/sqrt(4)

=> (2sqrt(3))/(sqrt(2^(2))

=> (cancel(2) sqrt(3)) / cancel(2) color(white)(..)[∵ sqrt(2^2) = 2]

=> sqrt(3)

Apr 7, 2018

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Explanation:

We know that the square root of 4 is 2.

Also, sqrt(3/4) can be decomposed as sqrt(3)/sqrt(4).