What is (sqrt(2)+sqrt(3))(sqrt(2)+sqrt(3)) ?

The solution to (sqrt(2)+sqrt(3))(sqrt(2)+sqrt(3)) is 5+2sqrt(6)

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simplify (sqrt(2)+sqrt(3))(sqrt(2)+sqrt(3))

simplify

(2 + 3) (2 + 3)

5 + 26

Decimal Notation

9.89897 \dots

Solution steps

(2 + 3) (2 + 3)

Apply exponent rule:

aa = a^{2}

(2 + 3) (2 + 3) = (2 + 3)^{2}

= (2 + 3)^{2}

Apply Perfect Square Formula:

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

(2 + 3)^{2} = (2)^{2} + 223 + (3)^{2}

= (2)^{2} + 223 + (3)^{2}

(2)^{2} + 223 + (3)^{2} = 5 + 26

= 5 + 26

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What is (sqrt(2)+sqrt(3))(sqrt(2)+sqrt(3)) ?
The solution to (sqrt(2)+sqrt(3))(sqrt(2)+sqrt(3)) is 5+2sqrt(6)