What is (sqrt(2+\sqrt{3)})^3 ?

The solution to (sqrt(2+\sqrt{3)})^3 is (2+sqrt(3))sqrt(2+\sqrt{3)}

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simplify (sqrt(2+\sqrt{3)})^3

simplify

(2 + 3)^{3}

(2 + 3) 2 + 3

Decimal Notation

7.20976 \dots

Solution steps

(2 + 3)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(2 + 3)^{2 + 1} = (2 + 3)^{2} 2 + 3

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

Apply exponent rule:

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

= (2 + 3) 2 + 3

= 2 + 3 (2 + 3)

= (2 + 3) 2 + 3

(19.3)^{2}

lo g_{10} (0.2) 1 0^{- 6}

2 π (26)

What is (sqrt(2+\sqrt{3)})^3 ?
The solution to (sqrt(2+\sqrt{3)})^3 is (2+sqrt(3))sqrt(2+\sqrt{3)}