Divide 2√65 / √5

Answer 1

To divide 2√65 by √5, we can rationalize the denominator by multiplying both the numerator and denominator by √5:

(2√65 * √5) / (√5 * √5)

Simplifying the numerator:

2√325 / 5

Now we simplify by finding the square root of 325:

2√(5 * 65) / 5

2√(5 * 13 * 5) / 5

2√(25 * 13) / 5

2(5√13) / 5

The 5 in the numerator and denominator cancels out:

2√13

Therefore, 2√65 / √5 simplifies to 2√13.