What is (sqrt(3x)+5)^2 ?

The solution to (sqrt(3x)+5)^2 is 3x+10sqrt(3)sqrt(x)+25

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simplify (sqrt(3x)+5)^2

simplify

(3 x + 5)^{2}

3 x + 103 x + 25

Solution steps

(3 x + 5)^{2}

Apply Perfect Square Formula:

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

(3 x + 5)^{2} = (3 x)^{2} + 2 3 x \cdot 5 + 5^{2}

= (3 x)^{2} + 2 3 x \cdot 5 + 5^{2}

(3 x)^{2} = 3 x

2 3 x \cdot 5 = 10 3 x

5^{2} = 25

= 3 x + 10 3 x + 25

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 3 x + 103 x + 25

\frac{6}{5} \cdot 2

6 \cdot 64

6 \cdot 35

(2 x + 2 y)^{3}

\frac{6}{9} + \frac{2}{7}

What is (sqrt(3x)+5)^2 ?
The solution to (sqrt(3x)+5)^2 is 3x+10sqrt(3)sqrt(x)+25