How do you simplify sqrt5/sqrt15?

2 Answers
Tony B
Apr 21, 2016

sqrt(3)/3

Explanation:

Multiply a number by 1 and its inherent value does not change. Multiply by 1 but in an equivalent form and you do not change its value but you do change the way it looks.

Given:" "sqrt(5)/sqrt(15)

Multiply by 1 but in the form 1=sqrt(15)/sqrt(15) giving

(sqrt(5)sqrt(15))/(sqrt(15)sqrt(15))

(sqrt(5)sqrt(15))/(15)

sqrt(5xx15)/15

sqrt(5xx5xx3)/15

(5sqrt(3))/15

sqrt(3)/3

ali ergin
Apr 21, 2016

(sqrt5)/(sqrt15)=sqrt3/3

Explanation:

(sqrt5)/(sqrt15)=cancel(sqrt5)/(cancel(sqrt5)*sqrt3)=1/sqrt3=sqrt3/(sqrt3*sqrt3)=sqrt3/(sqrt3)^²=sqrt3/3

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