Simplify √7/(3+7)² giving your answer in surd form with a rational denominator

Answer 1

To simplify √7/(3+7)², we first need to simplify the denominator (3+7)²:

(3+7)² = (10)² = 100

Now we have √7/100.

The square root of 7 cannot be simplified any further, so the simplified form with a rational denominator is:

√7/100