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Popular >

simplify (sqrt(2)+1)^2

Solution

simplify

(2 + 1)^{2}

Solution

3 + 22

+1

Decimal Notation

5.82842 \dots

Solution steps

(2 + 1)^{2}

Apply Perfect Square Formula:

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

(2 + 1)^{2} = (2)^{2} + 22 \cdot 1 + 1^{2}

= (2)^{2} + 22 \cdot 1 + 1^{2}

(2)^{2} + 22 \cdot 1 + 1^{2} = 3 + 22

= 3 + 22

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Frequently Asked Questions (FAQ)

What is (sqrt(2)+1)^2 ?
The solution to (sqrt(2)+1)^2 is 3+2sqrt(2)