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

Answer:

Here we want to solve the equation:

$11^3\sqrt{x-12} = 66$

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

$(11^3\sqrt{x-12})/11^3 = 66/11^3$

$\sqrt{x - 2} = 66/11^3$

Now remember that:

(√x)^2 = √(x^2) = x

then if we apply this to our equation we get:

$(\sqrt{x - 2})^2 = (66/11^3)^2$

now we need to solve:

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

Then x = 2.002