What is (36x)^{1/2}(49x)^{1/2} ?

The solution to (36x)^{1/2}(49x)^{1/2} is 42x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (36x)^{1/2}(49x)^{1/2}

simplify

(36 x)^{\frac{1}{2}} (49 x)^{\frac{1}{2}}

42 x

Solution steps

(36 x)^{\frac{1}{2}} (49 x)^{\frac{1}{2}}

Simplify

(36 x)^{\frac{1}{2}} : 6 x^{\frac{1}{2}}

= 6 x^{\frac{1}{2}} (49 x)^{\frac{1}{2}}

Simplify

(49 x)^{\frac{1}{2}} : 7 x^{\frac{1}{2}}

= 6 x^{\frac{1}{2}} \cdot 7 x^{\frac{1}{2}}

Multiply the numbers:

6 \cdot 7 = 42

= 42 x^{\frac{1}{2}} x^{\frac{1}{2}}

Apply exponent rule:

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

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

= 42 x^{\frac{1}{2} + \frac{1}{2}}

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

= 42 x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= 42 x

3 x + 7 < 13

5 x^{3} - 44 x^{2} + 61 x + 14

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

12 = ∣ x + 4 ∣

t^{2} - 27 t = 0