A Radical Expression Question

Algebra Level 1

Solve the question above...


The answer is 6.

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2 solutions

Isabella Yan
Feb 6, 2015

This is my solution for this question:

In case you forgot the identity, this a another solution (using the principle of distributive property).

( 3 2 2 3 ) ( 3 2 + 2 3 ) = 9 ( 2 ) + 6 6 6 6 4 ( 3 ) = 18 12 = 6 (3\sqrt{2}-2\sqrt{3})(3\sqrt{2}+2\sqrt{3})=9(2)+6\sqrt{6}-6\sqrt{6}-4(3)=18-12=\boxed{6}

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