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Popular >

simplify (2sqrt(3)+1)^2

Solution

simplify

(23 + 1)^{2}

Solution

13 + 43

+1

Solution steps

(23 + 1)^{2}

Apply Perfect Square Formula:

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

(23 + 1)^{2} = (23)^{2} + 2 \cdot 23 \cdot 1 + 1^{2}

= (23)^{2} + 2 \cdot 23 \cdot 1 + 1^{2}

(23)^{2} + 2 \cdot 23 \cdot 1 + 1^{2} = 13 + 43

= 13 + 43

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Frequently Asked Questions (FAQ)

What is (2sqrt(3)+1)^2 ?
The solution to (2sqrt(3)+1)^2 is 13+4sqrt(3)