1.) Square root of 16x^4 y^4 z
2.) 5 Square root of 144m^4 p^4 q^2
3.)-6 square root of 27m^4 p q^2

Expert Answers

An illustration of the letter 'A' in a speech bubbles

1. `sqrt(16x^4 y^4 z)`

First we will separate the terms.

`==gt sqrt(16x^4y^4z)= sqrt(16) sqrt(x^4) sqrt(y^4) sqrtz)`

Now we will simplify.

`==gt sqrt(16x^4y^4 z)= 4x^2 y^2 sqrtz`


2. `5sqrt(144m4p^4 q^2)`

Separate terms.

`==gt 5sqrt(144 m^4 p^4 q^2) = 5sqrt144 sqrtm^4 sqrtp^4 sqrtq^2`

` ==gt 5sqrt(144m^4p^4q^2) = 5*12 m^2 p^2 q = 60m^2p^2q`


3. `-6sqrt(27m^4 p q^2)`

` = -6sqrt(27)sqrt(m^4) sqrt(p) sqrt(q^2) `

`= -6* 3sqrt3 m^2 q sqrtp `

`= -18sqrt(3p)* m^2 q`

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial