In Exercises 75–92, rationalize each denominator. Simplify, if po...

Question

In Exercises 75–92, rationalize each denominator. Simplify, if possible.

12
------------
√7 + √3

Accepted Answer

Rationalize the denominator of the following and express in its simplest form Where we have 13 Divided by the square root of plus the square root of five. Not to simplify this, we gonna see we have squared of 10 plus squared of five. And then denominator, you want to get rid of every radical in the millimeter. You will do that by multiplying By squared of -9 of five. The opposite side. Now, because we're multiplying on the denominator, we have to multiply the same in the numerator Squared of 10 -2 of five. Now, we can simplify on the top. We get 13 multiplied by the square of 10 minus squared of five at the bottom, we will get squared of 10 plus square of five, multiply it by word of 10 minus squared of five. We can make use of foil and multiply our first terms squared of 10 squared of 10 to give us 10, Our outer terms gives us negative square to 50. Our inner terms gives us positive square to 50. Finally, our last terms give this minus five. We will then have 13 multiplied by square rate of 10 minus squared of five Divided by 10 -5, which is just five by itself. Now, we can distribute our 13 over. You will get 13 squares of 10 -13 squares of five divided by five. Finally, we can split up our numerator S 13 squared to 10 divided by five -13 Squares of five divided by five. We can't simplify any further. So we conclude our answer corresponds with answer B OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

In Exercises 75–92, rationalize each denominator. Simplify, if possible. 12 ------------ √7 + √3

Key Concepts

Rationalizing the Denominator

Conjugates

Simplifying Radicals

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