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

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

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

simplify

(5 - 2)^{2}

7 - 210

Decimal Notation

0.67544 \dots

Solution steps

(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

(x - 2)^{2} + 4

1 \frac{5}{8}

\frac{7}{10}

(x - 2) (3 x - 9)

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