Question

Simplify 46√/30√

by rationalizing the denominator. Show your work.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify 46√/30√, we first need to rationalize the denominator by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of √30 is √30, so:

46√/30√ * (√30/√30) = 46√(√30) / 30 * √30
= 46√(30) / 30 * 30
= 46√(30) / 900
= 46/900 * √(30)
= 23/450 * √(30)

Therefore, 46√/30√ simplifies to 23√(30)/450.