How do you simplify sqrt300/sqrt6?

2 Answers
Typo · Tony B
Apr 19, 2018

(sqrt300)/(sqrt6)=sqrt50=5sqrt2

Explanation:

(sqrt300)/(sqrt6)
rArr sqrt(300/6)
rArr sqrt50 color(white)( "d")=sqrt(5^2xx2)
rArr 5sqrt2

Jim G.
Apr 19, 2018

5sqrt2

Explanation:

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

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

•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)

rArrsqrt300/sqrt6

=sqrt(300/6)=sqrt50

sqrt50=sqrt(25xx2)=sqrt25xxsqrt2=5sqrt2

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