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Popular >

simplify (2+sqrt(3))^3

Solution

simplify

(2 + 3)^{3}

Solution

26 + 153

+1

Decimal Notation

51.98076 \dots

Solution steps

(2 + 3)^{3}

Apply Perfect Cube Formula:

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

a = 2, b = 3

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

Simplify

2^{3} + 3 \cdot 2^{2} 3 + 3 \cdot 2 (3)^{2} + (3)^{3} : 26 + 153

= 26 + 153

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Frequently Asked Questions (FAQ)

What is (2+sqrt(3))^3 ?
The solution to (2+sqrt(3))^3 is 26+15sqrt(3)