What is sqrt(29+2\sqrt{15)}^3 ?

The solution to sqrt(29+2\sqrt{15)}^3 is (29+2sqrt(15))^{3/2}

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Popular >

simplify sqrt(29+2\sqrt{15)}^3

simplify

29 + 215^{3}

(29 + 215)^{\frac{3}{2}}

Decimal Notation

222.74836 \dots

Solution steps

(29 + 215)^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((29 + 215)^{\frac{1}{2}})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (29 + 215)^{\frac{1}{2} \cdot 3}

\frac{1}{2} \cdot 3 = \frac{3}{2}

= (29 + 215)^{\frac{3}{2}}

(e^{t})^{3} \cdot e^{t}

(4 x^{2} - 4) e^{- x}

e^{- 4382}

e^{(- 1.282 \cdot 2)}

(65) (35)

What is sqrt(29+2\sqrt{15)}^3 ?
The solution to sqrt(29+2\sqrt{15)}^3 is (29+2sqrt(15))^{3/2}