Question

Simplify. Remove all perfect squares from inside the square root. V180=

Answer 1

6√5

Explanation:

We have to solve the expression
`√(180)`

Break 180 into its factors which are in the perfect square form.

Since, 180 = 9 × 4 × 5

= 3² × 2² × 5

Therefore,
`√(180)=\sqrt{3^(2)* 2^(2)* 5}`

=
`√(3^2)* \sqrt{2^(2)}* √(5)` [Since
`√(ab)=√(a)* √(b)`]

= 3 × 2 × √5

= 6√5

Therefore, solution of the given square root will be 6√5.