Question

Simplify the radical expression by rationalizing the denominator.

Answer 1

last

Explanation:

observe

`(7√(100))/(√(500))=7\sqrt{(100)/(500)}</p><p>\\=(7)/(√(5))* (√(5))/(√(5))</p><p>\\=(7√(5))/(5)`

Answer 2

7√5

------- or (7/5)√5

5

Explanation:

7√100

---------- can be simplified by reducing the radicand from 100/500 to 1/5.

√500

Then we have 7

------

√5

Multiplying numerator and denominator both by √5 results in

7√5

------- or (7/5)√5

5