How would you simplify $(sqrt13 - sqrt3) ( sqrt13 + sqrt 3)$ ?

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Answer 1 · 2016-02-24T03:44:36

$(sqrt 13-sqrt3)(sqrt 13+sqrt 3)=10$ .

$(sqrt 13-sqrt3)(sqrt 13+sqrt 3)$

This is an example of the difference of squares, $a^2-b^2=(a+b)(a-b)$ , where $a=sqrt13$ and $b=sqrt 3$ .

Rewrite the expression as a difference of squares.

$sqrt13^2-sqrt3^2$

Apply the square root rule $sqrta^2=a$ .

$13-3$

Simplify.

$10$

How would you simplify (sqrt13 - sqrt3) ( sqrt13 + sqrt 3)(sqrt13 - sqrt3) ( sqrt13 + sqrt 3)?