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Popular >

simplify (3+sqrt(5))^3

Solution

simplify

(3 + 5)^{3}

Solution

72 + 325

+1

Decimal Notation

143.55417 \dots

Solution steps

(3 + 5)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = 3, b = 5

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

Simplify

3^{3} + 3 \cdot 3^{2} 5 + 3 \cdot 3 (5)^{2} + (5)^{3} : 72 + 325

= 72 + 325

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Frequently Asked Questions (FAQ)

What is (3+sqrt(5))^3 ?
The solution to (3+sqrt(5))^3 is 72+32sqrt(5)