2 √65 / √5

Answer 1

To simplify the expression (2√65) / √5, you can first simplify the numerator and denominator separately.

In the numerator (2√65), you can simplify the square root of 65:
√65 = √(5 × 13) = √5 × √13 = √5√13 = √(5 × 13) = √(65) = √(5^2 × 13) = 5√13

So, the numerator becomes 2 × 5√13 = 10√13.

In the denominator (√5), you don't need to do anything else as it is already simplified.

Therefore, (2√65) / √5 simplifies to 10√13 / √5.