Question

Is
$\sqrt{180 \: } a \: surd \: or \: not$

Answer 1

$\sqrt{180} = \sqrt{9 \times 4 \times 5} \\ = 3 \times 2 \sqrt{5} \\ 6 \sqrt{5}$
Since there is an irrational number in the simplified root of 180, it is a surd.

Answer 2

√180

take LCM first

2|180

2|90

3|45

3|15

5 |5

|1

Put these number under the root

√2×2×3×3×5

Simplify till last

2×3√5

6√5

which is irrational

•

•. • √180 is Surd

Hope it helps you !!