What is (sqrt(3)+sqrt(7))^2 ?

The solution to (sqrt(3)+sqrt(7))^2 is 10+2sqrt(21)

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simplify (sqrt(3)+sqrt(7))^2

simplify

(3 + 7)^{2}

10 + 221

Decimal Notation

19.16515 \dots

Solution steps

(3 + 7)^{2}

Apply Perfect Square Formula:

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

(3 + 7)^{2} = (3)^{2} + 237 + (7)^{2}

= (3)^{2} + 237 + (7)^{2}

(3)^{2} + 237 + (7)^{2} = 10 + 221

= 10 + 221

\frac{3}{x} + \frac{5}{x ^{2}}

\frac{1}{3} \times \frac{2}{3}

\frac{6 k - 3}{3 - 6 k}

\frac{41}{4}

(3 x - 2) (4 x + 1)

What is (sqrt(3)+sqrt(7))^2 ?
The solution to (sqrt(3)+sqrt(7))^2 is 10+2sqrt(21)