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Popular >

simplify (sqrt(2)+1)^3

Solution

simplify

(2 + 1)^{3}

Solution

52 + 7

+1

Decimal Notation

14.07106 \dots

Solution steps

(2 + 1)^{3}

Apply Perfect Cube Formula:

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

a = 2, b = 1

= (2)^{3} + 3 (2)^{2} \cdot 1 + 32 \cdot 1^{2} + 1^{3}

Simplify

(2)^{3} + 3 (2)^{2} \cdot 1 + 32 \cdot 1^{2} + 1^{3} : 52 + 7

= 52 + 7

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Frequently Asked Questions (FAQ)

What is (sqrt(2)+1)^3 ?
The solution to (sqrt(2)+1)^3 is 5sqrt(2)+7