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

13.32455 \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

e^{- (l n (2))}

0.01 \cdot 1 0^{- 6}

7 e^{- 1}

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)