en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(3\sqrt{3)}

Solution

simplify

33

Solution

+1

Decimal Notation

2.27950 \dots

Solution steps

33

Apply radical rule:

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

33 = 33

= 33

Apply radical rule:

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

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

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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

Popular Examples

simplify 145^{3/2}simplify

14 5^{\frac{3}{2}}

factor 4k^2+12k+9 factor

4 k^{2} + 12 k + 9

30 = x 3

5 (z + 6) - 2 = 9 z

∣ x + 1 ∣ = x^{2} - 11

Frequently Asked Questions (FAQ)

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