What is (sqrt(2)-sqrt(3))(sqrt(2)-sqrt(3)) ?

The solution to (sqrt(2)-sqrt(3))(sqrt(2)-sqrt(3)) is 5-2sqrt(6)

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simplify (sqrt(2)-sqrt(3))(sqrt(2)-sqrt(3))

simplify

(2 - 3) (2 - 3)

5 - 26

Decimal Notation

0.10102 \dots

Solution steps

(2 - 3) (2 - 3)

Apply exponent rule:

aa = a^{2}

(2 - 3) (2 - 3) = (2 - 3)^{2}

= (2 - 3)^{2}

Apply Perfect Square Formula:

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

(2 - 3)^{2} = (2)^{2} - 223 + (3)^{2}

= (2)^{2} - 223 + (3)^{2}

(2)^{2} - 223 + (3)^{2} = 5 - 26

= 5 - 26

(2 m^{5}) (4 m^{5})

- 2 a^{4} b^{3} e n t r e^{6} ab

(\frac{2}{3})^{5} l e f t (\frac{2}{3})^{3}

x

What is (sqrt(2)-sqrt(3))(sqrt(2)-sqrt(3)) ?
The solution to (sqrt(2)-sqrt(3))(sqrt(2)-sqrt(3)) is 5-2sqrt(6)