en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(4x^2+4+1/(x^2))

Solution

simplify

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

Solution

\frac{2 x ^{2} + 1}{x}

Solution steps

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

Join

4 x^{2} + 4 + \frac{1}{x ^{2}} : \frac{4 x ^{4} + 4 x ^{2} + 1}{x ^{2}}

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

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

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

Simplify

4 x^{4} + 4 x^{2} + 1 : 2 x^{2} + 1

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

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

Popular Examples

simplify (4/(2n))^3 simplify

(\frac{4}{2 n})^{3}

simplify 1/4+1/2+1/8 simplify

\frac{1}{4} + \frac{1}{2} + \frac{1}{8}

expand (x-4)(3x+2)expand

(x - 4) (3 x + 2)

simplify 4c^{-3}simplify

4 c^{- 3}

factor 4y+8 factor

4 y + 8

Frequently Asked Questions (FAQ)

What is sqrt(4x^2+4+1/(x^2)) ?
The solution to sqrt(4x^2+4+1/(x^2)) is (2x^2+1)/x