What is simplify sqrt(\sqrt{240)} ?

The solution to simplify sqrt(\sqrt{240)} is 2\sqrt[4]{15}

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Calculate the Square Root square root of 240

simplify

240

Decimal Notation

3.93597 \dots

Solution steps

240

240 = 415

= 415

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

415 = 415

= 415

4 = 2

= 215

Apply radical rule:

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

15 = 1 5^{\frac{1}{2}}

= 2 1 5^{\frac{1}{2}}

Apply radical rule:

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

1 5^{\frac{1}{2}} = (1 5^{\frac{1}{2}})^{\frac{1}{2}}

= 2 (1 5^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 5^{\frac{1}{2}})^{\frac{1}{2}} = 1 5^{\frac{1}{2} \cdot \frac{1}{2}}

= 2 \cdot 1 5^{\frac{1}{2} \cdot \frac{1}{2}}

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

= 2 \cdot 1 5^{\frac{1}{4}}

Apply exponent rule:

x = \frac{36 \cdot π}{180}

cos (1 5^{\circ})

x, \frac{2}{3} x = 4

- e^{x} - e^{x}

x, \frac{5}{x} = \frac{4}{8}

What is simplify sqrt(\sqrt{240)} ?
The solution to simplify sqrt(\sqrt{240)} is 2\sqrt[4]{15}