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Popular >

expand (3+sqrt(7))^3

Solution

expand

(3 + 7)^{3}

Solution

90 + 347

+1

Decimal Notation

179.95554 \dots

Solution steps

(3 + 7)^{3}

Apply Perfect Cube Formula:

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

(3 + 7)^{3} = 3^{3} + 3 \cdot 3^{2} 7 + 3 \cdot 3 (7)^{2} + (7)^{3}

= 3^{3} + 3 \cdot 3^{2} 7 + 3 \cdot 3 (7)^{2} + (7)^{3}

3^{3} + 3 \cdot 3^{2} 7 + 3 \cdot 3 (7)^{2} + (7)^{3} = 90 + 347

= 90 + 347

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Frequently Asked Questions (FAQ)

What is expand (3+sqrt(7))^3 ?
The solution to expand (3+sqrt(7))^3 is 90+34sqrt(7)