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Popular >

simplify (2+sqrt(5))^2

Solution

simplify

(2 + 5)^{2}

Solution

9 + 45

+1

Decimal Notation

17.94427 \dots

Solution steps

(2 + 5)^{2}

Apply Perfect Square Formula:

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

(2 + 5)^{2} = 2^{2} + 2 \cdot 25 + (5)^{2}

= 2^{2} + 2 \cdot 25 + (5)^{2}

2^{2} + 2 \cdot 25 + (5)^{2} = 9 + 45

= 9 + 45

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Frequently Asked Questions (FAQ)

What is (2+sqrt(5))^2 ?
The solution to (2+sqrt(5))^2 is 9+4sqrt(5)