Question

Helpppp me Solve for x 3√x=10

Answer 1

x = 100/9

Explanation:

1) Square both sides.

`9x=100`

2) Divide both sides by 9.

`x = (100)/(9)`

Decimal Form: 11.111111

Check the answer:

`3√(x) =10`

1) Let
`x = (100)/(9)`.

`3\sqrt{(100)/(9) } =10`

2) Simplify
`\sqrt{(100)/(9) }` to
`(√(100) )/(√(9) )`.

`3*(√(100) )/(√(9) )=10`

3) Since 10 x 10 = 100, the square root of 100 is 10.

`3*(10)/(√(9) )=10`

4) Since 3 x 3 = 9, the square root of 9 is 3.

`3*(10)/(3) =10`

5) Cancel 3.

10 = 10