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Popular >

simplify (3+sqrt(5))^2

Solution

simplify

(3 + 5)^{2}

Solution

14 + 65

+1

Decimal Notation

27.41640 \dots

Solution steps

(3 + 5)^{2}

Apply Perfect Square Formula:

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

(3 + 5)^{2} = 3^{2} + 2 \cdot 35 + (5)^{2}

= 3^{2} + 2 \cdot 35 + (5)^{2}

3^{2} + 2 \cdot 35 + (5)^{2} = 14 + 65

= 14 + 65

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Frequently Asked Questions (FAQ)

What is (3+sqrt(5))^2 ?
The solution to (3+sqrt(5))^2 is 14+6sqrt(5)