Question

What's the answer ?



`√(9 * 144)`
​

Answer 1

36

Explanation:

Square roots have a neat property:
`√(ab)=√(a)√(b)` provided a and b are positive real numbers.

This property is what's behind simplifying square roots. You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.

Example:
`√(20)=√(4*5)=√(4)√(5)=2√(5)`.

In this problem, both factors are perfect squares.

`√(9*144)=√(9)√(144)=3*12=36`

Answer 2

Solution given:

`√(9 * 144)`

`√(3² * 12²)`

±(3*12)

±36 is a required answer.