Question

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

Answer 1

Answer:

6√5

Step-by-step explanation:

We have to solve the expression $\sqrt{180}$

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

Since, 180 = 9 × 4 × 5

                 = 3² × 2² × 5

Therefore, $\sqrt{180}=\sqrt{3^{2}\times 2^{2}\times 5}$

                           = $\sqrt{3^2}\times \sqrt{2^{2}}\times \sqrt{5}$ [Since $\sqrt{ab}=\sqrt{a}\times \sqrt{b}$]

                           = 3 × 2 × √5

                           = 6√5

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