en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(\sqrt{9/4)}

Solution

simplify

\frac{9}{4}

Solution

+1

Decimal Notation

1.22474 \dots

Solution steps

\frac{9}{4}

Apply radical rule:

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

= ((\frac{9}{4})^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (\frac{9}{4})^{\frac{1}{2} \cdot \frac{1}{2}}

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

= (\frac{9}{4})^{\frac{1}{4}}

Popular Examples

simplify \sqrt[3]{\sqrt[5]{1.25}}simplify

simplify 2.1e^5*e^{(-0.07*100)}simplify

2.1 e^{5} \cdot e^{(- 0.07 \cdot 100)}

simplify pi(x^2)^2 simplify

π (x^{2})^{2}

simplify (10)/(sqrt(2))\times (sqrt(2))/(sqrt(2))simplify

\frac{10}{2} \times \frac{2}{2}

simplify (4)^{-2}ln(4)simplify

(4)^{- 2} ln (4)

Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{9/4)} ?
The solution to sqrt(\sqrt{9/4)} is \sqrt[4]{9/4}