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help me please!!

what is the product of the radical expression?

(7- sqr root 2)(8+ sqr root 2)

A13+15 sqr root 2
B54- sqr root 2
D54+56 sqr root 2

Verified Answer :

JcAlmighty

The answer is b. 54- sqr root 2
The expression is: \((7- \sqrt{2} )(8+ \sqrt{2} )\)
Multiply values with each other:
\((7- \sqrt{2} )(8+ \sqrt{2} )=7*8+7* \sqrt{2}- \sqrt{2}*8- \sqrt{2}* \sqrt{2}= \\ =56+(7 \sqrt{2} -8 \sqrt{2})- (\sqrt{2}) ^{2} =56- \sqrt{2} -2=56-2- \sqrt{2}=54- \sqrt{2}\)
\(54- \sqrt{2}\) is 54- sqr root 2

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