What is (sqrt(x)+2sqrt(2))^2 ?

The solution to (sqrt(x)+2sqrt(2))^2 is x+4sqrt(2)sqrt(x)+8

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simplify (sqrt(x)+2sqrt(2))^2

simplify

(x + 22)^{2}

x + 42 x + 8

Solution steps

(x + 22)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

2 x \cdot 22 = 42 x

(22)^{2} = 8

= x + 42 x + 8

(- 3 - i)^{4}

lo g_{10} (7 z)

5 (10 - 42)

(\frac{1}{x} - x) (\frac{1}{x + 1} - 1)

(e^{x} - e^{- x}) (e^{x} + e^{- x})

What is (sqrt(x)+2sqrt(2))^2 ?
The solution to (sqrt(x)+2sqrt(2))^2 is x+4sqrt(2)sqrt(x)+8