What is (sqrt(6)+sqrt(7))(sqrt(6)+sqrt(7)) ?

The solution to (sqrt(6)+sqrt(7))(sqrt(6)+sqrt(7)) is 13+2sqrt(42)

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simplify (sqrt(6)+sqrt(7))(sqrt(6)+sqrt(7))

simplify

(6 + 7) (6 + 7)

13 + 242

Decimal Notation

25.96148 \dots

Solution steps

(6 + 7) (6 + 7)

Apply exponent rule:

aa = a^{2}

(6 + 7) (6 + 7) = (6 + 7)^{2}

= (6 + 7)^{2}

Apply Perfect Square Formula:

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

(6 + 7)^{2} = (6)^{2} + 267 + (7)^{2}

= (6)^{2} + 267 + (7)^{2}

(6)^{2} + 267 + (7)^{2} = 13 + 242

= 13 + 242

\frac{72}{- 18}

11 x^{2} y^{3} (16 x^{2} y^{3})

(a^{2} - b^{2})^{3}

What is (sqrt(6)+sqrt(7))(sqrt(6)+sqrt(7)) ?
The solution to (sqrt(6)+sqrt(7))(sqrt(6)+sqrt(7)) is 13+2sqrt(42)