Question

Simplify each expression as much as possible, and rationalize denominators when applicable. . √54x^2=?

Answer 1

`\sqrt{54x^(2)} = 3x√(6)`

Explanation:

We have

`\sqrt{54x^(2)}` this equals to

`\sqrt{3.3.3.2.x^(2) }` now we try to agrupate to have exponent of 2 that we can cancel

`\sqrt{3^(2).3.2x^(2)}` we can take out the ones with exponent from the root

`3x√(3.2) \\= 3x√(6)`