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

Question

In Exercises 75–92, rationalize each denominator. Simplify, if possible.15----------√6 + 1

Accepted Answer

Rationalize the denominator of the following and expressed in its simplest form Where our expression is 11 divided by the square root of 21-plus 3. Now to simplify this, we're going to multiply our denominator By Square the 21 -3. This will allow us to make use of the difference of two squares principle and get rid of our radical and the denominator now because we're multiplying by this on the bottom, we also have to multiply it by the same on the top and our numerator, we can now go ahead and simplify You look at 11 multiplied by square of 21 - on the top. Then on the bottom, we can go ahead and foil our turns Radical multiplied by radical 21 gives us 21, 21 By three, gives us -3 squares of Three multiplied by a square of 21 gives us three squares to 21. And finally, three multiplied by negative three Gives us - can then simplify the denominator 11 multiplied by Square 21 -3, All divided by 12. You cannot not disship you R11, You would get 11 spirits of 21 - All divided by 12. Finally, we can split up the terms of our numerator to get 11 square to 21 divided by 12 -33, divided by 12. We can't simplify any farther. So our answer corresponds to answer a OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 75–92, rationalize each denominator. Simplify, if possible.15----------√6 + 1

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