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

13.32455 \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

500 e^{- 0.0244 (20)}

x^{2} y^{2} z^{2}

e^{- s t} e^{t}

- e^{- 0.5}

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)