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Popular >

simplify (5+sqrt(2))^2

Solution

simplify

(5 + 2)^{2}

Solution

27 + 102

+1

Decimal Notation

41.14213 \dots

Solution steps

(5 + 2)^{2}

Apply Perfect Square Formula:

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

(5 + 2)^{2} = 5^{2} + 2 \cdot 52 + (2)^{2}

= 5^{2} + 2 \cdot 52 + (2)^{2}

5^{2} + 2 \cdot 52 + (2)^{2} = 27 + 102

= 27 + 102

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Frequently Asked Questions (FAQ)

What is (5+sqrt(2))^2 ?
The solution to (5+sqrt(2))^2 is 27+10sqrt(2)