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Popular >

expand (5+sqrt(3))^3

Solution

expand

(5 + 3)^{3}

Solution

170 + 783

+1

Decimal Notation

305.09996 \dots

Solution steps

(5 + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

5^{3} + 3 \cdot 5^{2} 3 + 3 \cdot 5 (3)^{2} + (3)^{3} = 170 + 783

= 170 + 783

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Frequently Asked Questions (FAQ)

What is expand (5+sqrt(3))^3 ?
The solution to expand (5+sqrt(3))^3 is 170+78sqrt(3)