Question

Rationalise the denominator and simplify
2 square root 3 / root 12

Answer 1

1

Explanation:

using the rule of radicals

•
`√(a)` ×
`√(b)` =
`√(ab)`

given

`(2√(3) )/(√(12) )`

to rationalise the denominator, multiply the numerator and denominator by
`√(12)`

=
`(2√(3)(√(12)) )/(√(12)(√(12)) )`

=
`(2√(3(12)) )/(√(12(12)) )`

=
`(2√(36) )/(√(144) )`

=
`(2(6))/(12)`

=
`(12)/(12)`

= 1

Answer 2

Explanation:

2 square root 3 / root 12=1