What is (sqrt(2)-sqrt(5))(sqrt(2)-sqrt(5)) ?

The solution to (sqrt(2)-sqrt(5))(sqrt(2)-sqrt(5)) is 7-2sqrt(10)

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simplify (sqrt(2)-sqrt(5))(sqrt(2)-sqrt(5))

simplify

(2 - 5) (2 - 5)

7 - 210

Decimal Notation

0.67544 \dots

Solution steps

(2 - 5) (2 - 5)

Apply exponent rule:

aa = a^{2}

(2 - 5) (2 - 5) = (2 - 5)^{2}

= (2 - 5)^{2}

Apply Perfect Square Formula:

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

(2 - 5)^{2} = (2)^{2} - 225 + (5)^{2}

= (2)^{2} - 225 + (5)^{2}

(2)^{2} - 225 + (5)^{2} = 7 - 210

= 7 - 210

- 15 x y (15 x^{5} y^{3})

e^{- 0.09}

- e^{x} \cdot e^{x}

What is (sqrt(2)-sqrt(5))(sqrt(2)-sqrt(5)) ?
The solution to (sqrt(2)-sqrt(5))(sqrt(2)-sqrt(5)) is 7-2sqrt(10)