What is simplify sqrt(\sqrt{224)} ?

The solution to simplify sqrt(\sqrt{224)} is 2\sqrt[4]{14}

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Calculate the Square Root square root of 224

simplify

224

Decimal Notation

3.86867 \dots

Solution steps

224

224 = 414

= 414

Apply radical rule:

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

414 = 414

= 414

4 = 2

= 214

Apply radical rule:

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

14 = 1 4^{\frac{1}{2}}

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

Apply radical rule:

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

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

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

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

2 (15)

b, - 67 b + 6 \leq 9 b + 43

m, m = - (4 + m) + 2

7.4%

x, 9 x - 2 (3 x - 5) = 8 x - 40

What is simplify sqrt(\sqrt{224)} ?
The solution to simplify sqrt(\sqrt{224)} is 2\sqrt[4]{14}