Question

simplify the radical expression by rationalizing the denominator.

Answer 1

Answer:

7√5

-------  or  (7/5)√5

  5

Step-by-step 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

Answer 2

Answer:

last

Step-by-step explanation:

observe

$\frac{7\sqrt{100}}{\sqrt{500}}=7\sqrt{\frac{100}{500}}

\\=\frac{7}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}}

\\=\frac{7\sqrt{5}}{5}$