Divide 2 to the square root of 65 divided by the square root of 5

1 answer

To divide 2 by the square root of 65 divided by the square root of 5, we first simplify the expression inside the denominator:

√65 ÷ √5 = √(65/5) = √13

Now our expression looks like this:

2 ÷ √13

To rationalize the denominator and simplify the expression, we multiply the numerator and denominator by √13:

(2 * √13) ÷ (√13 * √13)
= 2√13 ÷ 13
= 2/13 * √13

So, the final simplified expression is:

2/13 * √13