What is (10+sqrt(7))(10+sqrt(7)) ?

The solution to (10+sqrt(7))(10+sqrt(7)) is 107+20sqrt(7)

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simplify (10+sqrt(7))(10+sqrt(7))

simplify

(10 + 7) (10 + 7)

107 + 207

Decimal Notation

159.91502 \dots

Solution steps

(10 + 7) (10 + 7)

Apply exponent rule:

aa = a^{2}

(10 + 7) (10 + 7) = (10 + 7)^{2}

= (10 + 7)^{2}

Apply Perfect Square Formula:

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

(10 + 7)^{2} = 1 0^{2} + 2 \cdot 107 + (7)^{2}

= 1 0^{2} + 2 \cdot 107 + (7)^{2}

1 0^{2} + 2 \cdot 107 + (7)^{2} = 107 + 207

= 107 + 207

π (x)^{2}

(1 + 2) (1 + 2)

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

(1 - x)^{- \frac{1}{7}}

\frac{- 45}{9}

What is (10+sqrt(7))(10+sqrt(7)) ?
The solution to (10+sqrt(7))(10+sqrt(7)) is 107+20sqrt(7)