What is (sqrt(128))/(\sqrt[3]{16)} ?

The solution to (sqrt(128))/(\sqrt[3]{16)} is 4\sqrt[6]{2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(128))/(\sqrt[3]{16)}

simplify

Decimal Notation

4.48984 \dots

Solution steps

Factor

128 : 48

Factor

8 : 2 \cdot 2

Apply radical rule:

Cancel the common factor:

Apply radical rule:

a = a a

2 = 22

Cancel the common factor:

2

Factor the number:

4 = 2 \cdot 2

Apply radical rule:

a = a a

2 = 22

Cancel the common factor:

2

= 22 \cdot 2^{\frac{2}{3}}

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

Apply radical rule:

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

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

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

Apply exponent rule:

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

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

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

\frac{2}{3} + \frac{1}{2} = \frac{7}{6}

= 2 \cdot 2^{\frac{7}{6}}

Multiply the numbers:

2 \cdot 2 = 4

\frac{3}{2} \times (- 6)

∣ - 1.8 ∣ + ∣ 2.6 ∣

\frac{2 x + 3 - 3}{2}

\frac{6 ^{2}}{2}

5 \times 23

What is (sqrt(128))/(\sqrt[3]{16)} ?
The solution to (sqrt(128))/(\sqrt[3]{16)} is 4\sqrt[6]{2}