What is (sqrt(7)+5)(sqrt(7)+5) ?

The solution to (sqrt(7)+5)(sqrt(7)+5) is 32+10sqrt(7)

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simplify (sqrt(7)+5)(sqrt(7)+5)

simplify

(7 + 5) (7 + 5)

32 + 107

Decimal Notation

58.45751 \dots

Solution steps

(7 + 5) (7 + 5)

Apply exponent rule:

aa = a^{2}

(7 + 5) (7 + 5) = (7 + 5)^{2}

= (7 + 5)^{2}

Apply Perfect Square Formula:

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

(7 + 5)^{2} = (7)^{2} + 27 \cdot 5 + 5^{2}

= (7)^{2} + 27 \cdot 5 + 5^{2}

(7)^{2} + 27 \cdot 5 + 5^{2} = 32 + 107

= 32 + 107

\frac{- 63}{7}

(x - 2)^{2} (x - 3)^{2}

(6)^{7}

What is (sqrt(7)+5)(sqrt(7)+5) ?
The solution to (sqrt(7)+5)(sqrt(7)+5) is 32+10sqrt(7)