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 1016335: 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 richard1234(7193) (Show Source): You can put this solution on YOUR website!
^2 = a + b + 2 \sqrt{ab})
by expanding/using FOIL.
^2 = (-(\sqrt{a} + \sqrt{b}))^2 = a + b + 2 \sqrt{ab})
(same as the first one)
Note that 
. Setting a = 7, b = 3 gives ^2 = 10 + \sqrt{84})
.
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