Question

Hello, I need help with radical expressions. I've tried looking it up, but I'm getting no solutions. 11^3sqrt(x-12)=66

Answer 1

Here we want to solve the equation:

`11^3√(x-12) = 66`

First, we can divide both sides by 11^3 to get:

`(11^3√(x-12))/11^3 = 66/11^3`

`√(x - 2) = 66/11^3`

Now remember that:

(√x)^2 = √(x^2) = x

then if we apply this to our equation we get:

`(√(x - 2))^2 = (66/11^3)^2`

now we need to solve:

`x - 2 = (66/11^3)^2\\x = (66/11^3)^2 + 2 = 2.002`

Then x = 2.002