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Popular >

simplify sqrt(\sqrt{8)}

Solution

simplify

8

Solution

+1

Decimal Notation

1.68179 \dots

Solution steps

8

8 = 22

= 22

Apply radical rule:

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

22 = 22

= 22

Apply radical rule:

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

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

Apply radical rule:

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

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

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

Popular Examples

x - \frac{1}{2} = 3 \frac{2}{3}

(x - 4)^{2} = 21

simplify sqrt(5+4)simplify

5 + 4

factor 2x^3-6x factor

2 x^{3} - 6 x

2 x^{2} + 12 x + 15 = 0

Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{8)} ?
The solution to sqrt(\sqrt{8)} is \sqrt[4]{2^3}