Question

Simply the radical expressions.

1. \[ 4\sqrt{ \frac{16}{36}} \]

2. \[ 5\sqrt{18x}\times 2\sqrt{6x^{3}} \]

Answer 1

Answer:8/3

Explanation:

Answer 2

The first expression is
`4 * \sqrt {(16)/(36)}`

=
`4 * {(4)/(6)}`

=
`(16)/(6)`

Reducing it to the lowest form,

=
`(8)/(3)`

The second expression is
`5√(18x) * 2\sqrt{6x^(3)}`

=
`5* 3√(2x) * 2* √(2) √(3) x^{(3)/(2)}`

=
`15 * (√(2) * √(2)) * 2 * √(3)√(x) x^{(3)/(2)}`

=
`60√(3) x^{(1)/(2)+(3)/(2)}`

=
`60√(3) x^2`