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

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

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

simplify

(5 - 2) (5 - 2)

7 - 210

Decimal Notation

0.67544 \dots

Solution steps

(5 - 2) (5 - 2)

Apply exponent rule:

aa = a^{2}

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

= (5 - 2)^{2}

Apply Perfect Square Formula:

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

(5 - 2)^{2} = (5)^{2} - 252 + (2)^{2}

= (5)^{2} - 252 + (2)^{2}

(5)^{2} - 252 + (2)^{2} = 7 - 210

= 7 - 210

4 e^{- x}

(2 x) (3 x^{2})

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