What is (sqrt(10^2+7^2+7^2))^2 ?

The solution to (sqrt(10^2+7^2+7^2))^2 is 198

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simplify (sqrt(10^2+7^2+7^2))^2

simplify

(1 0^{2} + 7^{2} + 7^{2})^{2}

198

Solution steps

(1 0^{2} + 7^{2} + 7^{2})^{2}

Apply exponent rule:

(1 0^{2} + 7^{2} + 7^{2})^{2} = 1 0^{2} + 7^{2} + 7^{2}

= 1 0^{2} + 7^{2} + 7^{2}

Add similar elements:

7^{2} + 7^{2} = 2 \cdot 7^{2}

= 1 0^{2} + 2 \cdot 7^{2}

1 0^{2} = 100

2 \cdot 7^{2} = 98

= 100 + 98

Add the numbers:

100 + 98 = 198

= 198

\frac{K ^{\frac{1}{2}}}{L ^{\frac{1}{2}}}

(- x) (- x)

\frac{e ^{- 3 x}}{e ^{- x}}

3 x e^{- x}

e^{- \frac{2}{9}}