How do you simplify sqrt(2 / 75)275?

3 Answers
Mar 30, 2018

=>1/5sqrt(2/3)1523

Explanation:

=>sqrt(2/75)275

=>sqrt(2/(3*25)2325

=>sqrt(2/(3*5^2)2352

=>1/5sqrt(2/3)1523

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Explanation:

1) Rewrite problem
2)Take the biggest perfect square out of the bottom square root
3) Rationalize denominator

Mar 30, 2018

sqrt 6/15615

Explanation:

sqrt(2/75)275

:.=sqrt2/sqrt 75xxsqrt 75/sqrt 75

:.=sqrt(2*75)/75

:.=sqrt150/75

:.=sqrt (2*3*5*5)/75

:.sqrt5*sqrt5=5

:.=(cancel5^1 sqrt 6)/cancel75^15

:.=sqrt6/15