Question

Write each expression in simplified radical form PLEASE HELP ITS DUE FRIDAY AND I DONT UNDERSTAND THIS AT ALL REALLY BAD TEACHER this is only half the test

Answer 1

1) The simplified radical form is
`√(36x^2)=6x`

2) The simplified radical form is
`√(72x^3)=6x√(2x)`

3) The simplified radical form is
`√(15x^8)=√(15)x^4`

4) The simplified radical form is
`√(36x^7)=6x^3√(x)`

Explanation:

1) Given expression is
`√(36x^2)`

To find the simplified radical form of the given expression :

`√(36x^2)`

`=√(36* x^2)`

`=√(36)* √(x^2)`

`=√(6* 6)* √(x* x)`

`=6* x`

`√(36x^2)=6x`

Therefore the simplified radical form is
`√(36x^2)=6x`

2)Given expression is
`√(72x^3)`

To find the simplified radical form of the given expression :

`√(72x^3)`

`=√(72* x^3)`

`=√(72)* √(x^3)`

`=√(9* 8)* √(x* x* x)`

`=√(9)* √(8)* x√(x)`

`=3* 2√(2)* x√(x)`

`√(72x^3)=6x√(2x)`

Therefore the simplified radical form is
`√(72x^3)=6x√(2x)`

3) Given expression is
`√(15x^8)`

To find the simplified radical form of the given expression :

`√(15x^8)`

`=√(15* x^8)`

`=√(15)* √(x^8)`

`=√(5* 3)* √(x^4* x^4)`

`=√(15)* x^4`

`√(15x^8)=√(15)x^4`

Therefore the simplified radical form is
`√(15x^8)=√(15)x^4`

4) Given expression is
`√(36x^7)`

To find the simplified radical form of the given expression :

`√(36x^7)`

`=√(36* x^7)`

`=√(36)* √(x^7)`

`=√(6* 6)* √(x^3* x^3* x)`

`=6* x^3√(x)`

`√(36x^7)=6x^3√(x)`

Therefore the simplified radical form is
`√(36x^7)=6x^3√(x)`