Question

Simplify Remove all perfectsquares from inside the square root. v52

Answer 1

The square root we need to simplify is:

`\sqrt[]{52}`

We need to find an expression equivalent to 54 which includes a perfect square number (4, 16, 25, etc,...)

In this case, we note that:

`52=4*13`

We substitute this in the square root:

`\sqrt[]{4*13}`

And we calculate the square root of 4 which is 2, and that goes outside the square root:

`2\sqrt[]{13}`

we left the number 13 inside the square root because the square root of 13 is not exact.

Answer:

`2\sqrt[]{13}`