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

The solution to (x+sqrt(x))^2 is x^2+2xsqrt(x)+x

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simplify (x+sqrt(x))^2

simplify

(x + x)^{2}

x^{2} + 2 x x + x

Solution steps

(x + x)^{2}

Apply Perfect Square Formula:

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

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(x)^{2} = x

= x^{2} + 2 x x + x

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

(3 lo g_{10} (n) + 5 n^{2}) (lo g_{10} (n + 5) + 8 n)

(1 + i 2)^{5}

2^{6}

\frac{6 x + 4}{3 x ( x - 2 )}