The number $\sqrt{63-36\sqrt3}$ can be expressed as $x+\sqrt3 y$ for some integers $x$ and $y.$ What is the

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Sun Mar 07, 2021 2:05 pm

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The number $\sqrt{63-36\sqrt3}$ can be expressed as $x+\sqrt3 y$ for some integers $x$ and $y.$ What is the value of $xy?$

A. -18
B. -6
C. 6
D. 18
E. 27

Answer: A

Source: Official Guide

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