How do you simplify $(\sqrt{2} - \sqrt{3}) (\sqrt{2} + \sqrt{3})$ $(sqrt2 - sqrt3) (sqrt2 + sqrt3)$ ?

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How do you simplify $(\sqrt{2} - \sqrt{3}) (\sqrt{2} + \sqrt{3})$ $(sqrt2 - sqrt3) (sqrt2 + sqrt3)$ ?

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Answer 1 · 2017-03-11T23:00:10

See the solution process below:

Explanation:

This is an example for the rule for:

$(a - b) (a + b) = a^{2} - b^{2}$ $(a - b)(a + b) = a^2 - b^2$

Substitute $\sqrt{2}$ $sqrt(2)$ for $a$ $a$ and $\sqrt{3}$ $sqrt(3)$ for $b$ $b$ :

$(\sqrt{2} - \sqrt{3}) (\sqrt{2} + \sqrt{3}) = {(\sqrt{2})}^{2} - {(\sqrt{3})}^{2} =$ $(sqrt(2) - sqrt(3))(sqrt(2) + sqrt(3)) = (sqrt(2))^2 - (sqrt(3))^2 =$

$2 - 3 = - 1$ $2 - 3 = -1$

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How do you simplify $(\sqrt{2} - \sqrt{3}) (\sqrt{2} + \sqrt{3})$ $(sqrt2 - sqrt3) (sqrt2 + sqrt3)$ ?

1 Answer

Explanation:

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How do you simplify (sqrt2 - sqrt3) (sqrt2 + sqrt3)(√2−√3)(√2+√3)(sqrt2 - sqrt3) (sqrt2 + sqrt3)?

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Explanation:

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How do you simplify $(\sqrt{2} - \sqrt{3}) (\sqrt{2} + \sqrt{3})$ $(sqrt2 - sqrt3) (sqrt2 + sqrt3)$ ?