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

The solution to (sqrt(2)+7)(sqrt(2)+7) is 51+14sqrt(2)

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simplify (sqrt(2)+7)(sqrt(2)+7)

simplify

(2 + 7) (2 + 7)

51 + 142

Decimal

70.79898 \dots

Solution steps

(2 + 7) (2 + 7)

Apply exponent rule:

aa = a^{2}

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

= (2 + 7)^{2}

Apply Perfect Square Formula:

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

(2 + 7)^{2} = (2)^{2} + 22 \cdot 7 + 7^{2}

= (2)^{2} + 22 \cdot 7 + 7^{2}

(2)^{2} + 22 \cdot 7 + 7^{2} = 51 + 142

= 51 + 142

x^{4} (1 - x)^{4}

- 2 a^{2} b^{2} (5 a^{2} b^{2} - 2 a + 5 b)

e^{2 x} e^{- x}

b e tw ee n^{2}

4 a^{16} b^{24}

What is (sqrt(2)+7)(sqrt(2)+7) ?
The solution to (sqrt(2)+7)(sqrt(2)+7) is 51+14sqrt(2)