Question

What is the value of 2sqrt3 over sqrt10 in simplest form?

Answer 1

That's already pretty simple, but you can rationalize the denominator to make it look prettier.

Answer 2

And how would you do that?

Answer 3

Multiply top and bottom by the radical in the denominator.

Answer 4

Does the sqrt of 10 cancel out?

Answer 5

Not exactly.

Answer 6

What did you get after multiplying?

Answer 7

so the top will be 2 sqrt 30 and what about the bottom

Answer 8

The bottom is √10 * √10 <--simplify this.

Answer 9

sqrt 100 which is 10 so the answer is 2 sqrt 30 over 10?

Answer 10

Yes, but you can simplify that further.

Answer 11

answer is sqrt 30 over 5