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Popular >

simplify (sqrt(2)+2)^2

Solution

simplify

(2 + 2)^{2}

Solution

6 + 42

+1

Decimal Notation

11.65685 \dots

Solution steps

(2 + 2)^{2}

Apply Perfect Square Formula:

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

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

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

(2)^{2} + 22 \cdot 2 + 2^{2} = 6 + 42

= 6 + 42

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Frequently Asked Questions (FAQ)

What is (sqrt(2)+2)^2 ?
The solution to (sqrt(2)+2)^2 is 6+4sqrt(2)