Question

Match the step with the correct line of working.

A
√9×√8
B
3√8
C
√9×8
D
√72
Write down the question.

Write √72 in the form √a×b where a is the biggest possible square number.

The root of the product is the same as the product of the roots.

Work out √9then write down your answer.

Answer 1

`√(72)` = 6 ×
`√(2)`

Explanation:

given

`√(72)`

the largest factor of 72 which is a square number is 36

using the property of radicals

`√(a)` ×
`√(b)` =
`√(ab)` , then

`√(72)`

=
`√(36(2))`

=
`√(36)` ×
`√(2)`

= 6 ×
`√(2)`