How do you simplify sqrt(75)75?

2 Answers
May 20, 2018

sqrt(75)=5sqrt(3)75=53

Explanation:

sqrt(75)=sqrt(5^2 * 3) =sqrt(5^2) * sqrt(7)=5 * sqrt(7)75=523=527=57

May 20, 2018

5sqrt353

Explanation:

We can simplify radicals using square numbers.

Start by listing the factors:

75 and 175and1
25 and 325and3
15 and 515and5

2525 is a squared number, so we can use 2525 and 33

rArr sqrt25 xx sqrt325×3

sqrt2525 can be simplified:

sqrt25=525=5

therefore rArr 5sqrt3