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

Question

In Exercises 75–92, rationalize each denominator. Simplify, if possible. √b----------√a - √b

Accepted Answer

Rationalize the denominator of the following and express in its simplest form where we have the square root of you divided by the square of U minus the square of V. Not to rationalize the denominator mean the multiplier denominator by something to get rid of the radicals. We are multiply by the squared of U plus square of V. This will allow us to apply different subject squares and get rid of our radical. Now, because we're multiplying by this in our denominator, we have them also multiply it by it in our numerator. Now, we can go ahead and multiply our terms at the top, we get a squared of U multiplied by the squared of U which gives us U squared of U multiplied by the squared of V gives a square root of U V. And our denominator squared of U multiplied by squared of U is U squared of U multiplied by the square of V gives us positive square of U V. Then we have minus square root of U V and finally negative square to V multiplied by squared to V gives us negative V. Further simplified, we get U plus the square of U V defined by U minus V. We can't simplify any further. So our answer corresponds with 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. √b----------√a - √b

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