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Popular >

simplify (1+sqrt(5))^2

Solution

simplify

(1 + 5)^{2}

Solution

6 + 25

+1

Decimal Notation

10.47213 \dots

Solution steps

(1 + 5)^{2}

Apply Perfect Square Formula:

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

(1 + 5)^{2} = 1^{2} + 2 \cdot 1 \cdot 5 + (5)^{2}

= 1^{2} + 2 \cdot 1 \cdot 5 + (5)^{2}

1^{2} + 2 \cdot 1 \cdot 5 + (5)^{2} = 6 + 25

= 6 + 25

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Frequently Asked Questions (FAQ)

What is (1+sqrt(5))^2 ?
The solution to (1+sqrt(5))^2 is 6+2sqrt(5)