SOLUTION: Hi, Please help me to solve step-by-step on these questions. Thank you very much. a) What is the conjugate of the expression : square root 3 + square root 5 b) Mu

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Question 1112954: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
a)
What is the conjugate of the expression :
square root 3 + square root 5
b)
Multuply:
square root 3 + square root 5
by its conjugate from part a).
c)
Rationalize the denominator as shown in Section 8.5 for the following rational expression :
2th root of 5-1 / (square root of 3 + square roor of 5)
14. Solve the following radical equation that is similar to some of the examples in Section 8.6. Show all steps in reaching the solution(s) and check the solution(s) :
square root of 5n-1 + 2n = 4
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

The conjugate of any binomial expression is created by changing the sign between the two terms, that is the conjugate of is

The product of any pair of conjugates is the square of the first term minus the square of the second term. E.g.

To rationalize a binomial denominator, multiply the entire fraction by 1 in the form of the conjugate of the denominator divided by itself.

Thus:

And then combine any like terms.

Your last problem is ambiguous. Use parentheses and post it separately. Read the instructions for posting: 1 problem per post.

John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52767)   (Show Source):
You can put this solution on YOUR website!
.
Your questions a) and b) were just answered under this link

https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1112825.html

https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1112825.html

Do not ask it again,   PLEASE and thank you.