What is (asqrt(2)+bsqrt(3))^2 ?

The solution to (asqrt(2)+bsqrt(3))^2 is 2a^2+2sqrt(6)ab+3b^2

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simplify (asqrt(2)+bsqrt(3))^2

simplify

(a 2 + b 3)^{2}

2 a^{2} + 26 ab + 3 b^{2}

Solution steps

(a 2 + b 3)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(a 2)^{2} + 2 a 2 b 3 + (b 3)^{2} : 2 a^{2} + 26 ab + 3 b^{2}

= 2 a^{2} + 26 ab + 3 b^{2}

\frac{1}{16} (x - 5) (x - 11)

\frac{2}{3} (2 x - 1 + (- (3 x + 2)) = \frac{5}{2} (3 x - 5))

100 (569 + 39)

\frac{x}{4 ( x + 8 )}

, (0.375 x) (60 x - \frac{3 x ^{2}}{2})

What is (asqrt(2)+bsqrt(3))^2 ?
The solution to (asqrt(2)+bsqrt(3))^2 is 2a^2+2sqrt(6)ab+3b^2