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Popular >

simplify (sqrt(a)+2)^2

Solution

simplify

(a + 2)^{2}

Solution

a + 4 a + 4

Solution steps

(a + 2)^{2}

Apply Perfect Square Formula:

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

(a + 2)^{2} = (a)^{2} + 2 a \cdot 2 + 2^{2}

= (a)^{2} + 2 a \cdot 2 + 2^{2}

(a)^{2} = a

2 a \cdot 2 = 4 a

2^{2} = 4

= a + 4 a + 4

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Frequently Asked Questions (FAQ)

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