How do you simplify (5sqrt3)/(6sqrt10)?

1 Answer
Jim G.
Mar 23, 2018

sqrt30/12

Explanation:

"using the "color(blue)"laws of radicals"

•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)

•color(white)(x)sqrtaxxsqrta=a

"to simplify we require to remove the radical from the "
"denominator"

"this is achieved by multiplying numerator/denominator"
"by "sqrt10

rArr(5sqrt3)/(6sqrt10)xxsqrt10/sqrt10

=(5xxsqrt(3xx10))/(6xxsqrt(10xx10))

=(5xxsqrt30)/(6xxsqrt100)=(cancel(5)^1xxsqrt30)/(cancel(60)^(12))=sqrt30/12

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