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What is the product of radical expression (7 - sqrt2)(8 + sqrt2)

2 Answers

4 votes
(7 - √2)(8 + √2)

Use distributive property to solve this.

56 + 7√2 - 8√2 - 2
54 - 1√2

54 - √2
Hope this helped! :)
User Dietrich Epp
by
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2 votes

Answer:


54-√(2)

Explanation:


\left(7-√(2)\right)\left(8+√(2)\right)

Apply FOIL method:-


\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd


a=7\b=-√(2)\c=8\d=√(2)


7* \:8+7√(2)+\left(-√(2)\right)* \:8+\left(-√(2)\right)√(2)

Now, Apply minus/ plus rule:-


+\left(-a\right)=-a


7* \:8+7√(2)-8√(2)-√(2)√(2)


=54-√(2)

OAmalOHopeO

User JimmyJ
by
8.1k points