How do you simplify sqrt(75)?

2 Answers
May 20, 2018

sqrt(75)=5sqrt(3)

Explanation:

sqrt(75)=sqrt(5^2 * 3) =sqrt(5^2) * sqrt(7)=5 * sqrt(7)

May 20, 2018

5sqrt3

Explanation:

We can simplify radicals using square numbers.

Start by listing the factors:

75 and 1
25 and 3
15 and 5

25 is a squared number, so we can use 25 and 3

rArr sqrt25 xx sqrt3

sqrt25 can be simplified:

sqrt25=5

therefore rArr 5sqrt3