What is sqrt(z)*sqrt(30z^2)*sqrt(35z^3) ?

The solution to sqrt(z)*sqrt(30z^2)*sqrt(35z^3) is 5sqrt(42)z^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(z)sqrt(30z^2)sqrt(35z^3)

simplify

z \cdot 30 z^{2} \cdot 35 z^{3}

542 z^{3}

Solution steps

z 30 z^{2} 35 z^{3}

Simplify

30 z^{2} : 30 z

= z 30 z 35 z^{3}

Simplify

35 z^{3} : 35 z z

= z 30 z 35 z z

Apply radical rule:

a a = a,

assuming

a \geq 0

z z = z

= z 30 z 35 z

Apply exponent rule:

aa = a^{2}

zz = z^{2}

= z 30 z^{2} 35

Simplify

z z^{2} : z^{3}

= z^{3} 3035

= 3035 z^{3}

30 = 56

= 5635 z^{3}

35 = 57

= 5657 z^{3}

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 567 z^{3}

67 = 42

= 542 z^{3}

(- 1)^{1 + 1}

e^{i 0}

15 w + 65

\frac{x}{2 x - 9} - \frac{x - 3}{4 x}

(3 - 16) (- 9 - 100)

What is sqrt(z)*sqrt(30z^2)*sqrt(35z^3) ?
The solution to sqrt(z)*sqrt(30z^2)*sqrt(35z^3) is 5sqrt(42)z^3