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OpenStudy (kropot72):
This looks like the factorization of the difference of two squares:
\[a ^{2}-b ^{2}=(a+b)(a-b)\]
So we can find the solution by first doing the following:
\[(5+3\sqrt{2})(5-3\sqrt{2})=5^{2}-(3\sqrt{2})^{2}\]
Can you simplify
\[5^{2}-(3\sqrt{2})^{2}=\ ?\]
OpenStudy (anonymous):
19? @kropot72
OpenStudy (kropot72):
Not really.
\[5^{2}=25\]
and
\[(3\sqrt{2})^{2}=18\]
So we get
\[25-18=\ ?\]
OpenStudy (anonymous):
7 @kropot72
OpenStudy (nirmalnema):
yup 7 is correct
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