Question

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

Answer 1

(7 - √2)(8 + √2)

Use distributive property to solve this.

56 + 7√2 - 8√2 - 2
54 - 1√2

54 - √2
Hope this helped! :)

Answer 2

`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)`

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