SOLUTION: I. Find the square of √a + √b and -√a-√b.
II. Use the result of part I. to find the square roots of 10+√84.
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Question 1016336: I. Find the square of √a + √b and -√a-√b.
II. Use the result of part I. to find the square roots of 10+√84.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
If we let we then get
a + b = 10 and ab = 21 by equating coefficients of like terms.
==> , and so , or
==> a = 3 or 7, which gives b = 7 or 3, respectively.
Either way, we get .
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