What is simplify sqrt(\sqrt{544)} ?

The solution to simplify sqrt(\sqrt{544)} is 2\sqrt[4]{34}

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Calculate the Square Root square root of 544

simplify

544

Solution steps

544

544 = 434

= 434

Apply radical rule:

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

434 = 434

= 434

4 = 2

= 234

Apply radical rule:

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

34 = 3 4^{\frac{1}{2}}

= 2 3 4^{\frac{1}{2}}

Apply radical rule:

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

3 4^{\frac{1}{2}} = (3 4^{\frac{1}{2}})^{\frac{1}{2}}

= 2 (3 4^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

(3 4^{\frac{1}{2}})^{\frac{1}{2}} = 3 4^{\frac{1}{2} \cdot \frac{1}{2}}

= 2 \cdot 3 4^{\frac{1}{2} \cdot \frac{1}{2}}

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

= 2 \cdot 3 4^{\frac{1}{4}}

Apply exponent rule:

2 x^{2} = 2 x - 9

cos (4 x)

2 x^{2} + x - 7 = 0

x, 8 < x (7 - x)

∣ - 5.8 ∣

What is simplify sqrt(\sqrt{544)} ?
The solution to simplify sqrt(\sqrt{544)} is 2\sqrt[4]{34}