What is sqrt(\sqrt{11-\sqrt{72)}} ?

The solution to sqrt(\sqrt{11-\sqrt{72)}} is \sqrt[4]{11-6sqrt(2)}

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simplify sqrt(\sqrt{11-\sqrt{72)}}

simplify

11 - 72

Decimal Notation

1.25928 \dots

Solution steps

11 - 72

Apply radical rule:

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

= ((11 - 72)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= (11 - 72)^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (11 - 72)^{\frac{1}{4}}

72 = 62

(3.35 \cdot 1 0^{- 5}) \cdot 9.8

6.67 x 1 0^{- 11} N

e^{- l n (0.173)}

0.36 \cdot x^{- \frac{1}{4}}

What is sqrt(\sqrt{11-\sqrt{72)}} ?
The solution to sqrt(\sqrt{11-\sqrt{72)}} is \sqrt[4]{11-6sqrt(2)}