Question

Divide 2√65 provide an exact answer
√5

Answer 1

To divide 2√65, we can simplify the expression as follows:

2√65 ÷ √5

Since the denominator (√5) is a square root, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of √5, which is also √5:

(2√65 ÷ √5) * (√5/√5)

Simplifying this expression:

= (2√65 * √5) / (√5 * √5)

= 2√(65 * 5) / (√(5 * 5))

= 2√(325) / √(25)

= 2√(325) / 5

Therefore, the exact answer is 2√(325)/5.