What is sqrt(((9+12a+4a^2))/((b^2))) ?

The solution to sqrt(((9+12a+4a^2))/((b^2))) is (2a+3)/b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(((9+12a+4a^2))/((b^2)))

simplify

\frac{( 9 + 12 a + 4 a ^{2} )}{( b ^{2} )}

\frac{2 a + 3}{b}

Solution steps

\frac{9 + 12 a + 4 a ^{2}}{b ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{9 + 12 a + 4 a ^{2}}{b ^{2}}

Simplify

9 + 12 a + 4 a^{2} : 2 a + 3

= \frac{2 a + 3}{b ^{2}}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

b^{2} = b

= \frac{2 a + 3}{b}

\frac{100}{2 x [ 47 - ( 30 - 2 ^{3} ) ]}

x + (110 - 5 x)

\frac{0}{1 ^{x}}

25 x^{2} - 100 y^{2}

2 x - 1

What is sqrt(((9+12a+4a^2))/((b^2))) ?
The solution to sqrt(((9+12a+4a^2))/((b^2))) is (2a+3)/b