Question 1173195: One ordered pair of rational numbers (x,y) satisfies √((21/4) + 3√3) = x + √y. What is the value of x + y? Answer by ewatrrr(24785) (Show Source):
Hi
One ordered pair of rational numbers (x,y) satisfies:
√(2 1/4) + 3√3) = x + √y. √(9/4) + 3√3 = x + √y. 3/2 + 3√3) = x + √y.
x = 3/2
√y = 3√3 0r squaring both sides
y = 9*3 = 27
x + y = 3/2 + 27 = 28 1/2
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