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Popular >

simplify (sqrt(5)+2)^2

Solution

simplify

(5 + 2)^{2}

Solution

9 + 45

+1

Decimal Notation

17.94427 \dots

Solution steps

(5 + 2)^{2}

Apply Perfect Square Formula:

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

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

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

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

= 9 + 45

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Frequently Asked Questions (FAQ)

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