Question

find the square root of 400x^4y^12z^10/100x^8y^4z^4​

Answer 1

Answer:

Step-by-step explanation:

Given,

√400x^4 y^12 z^10 / √100x^8 y^4 z^4

= √(20x^2)^2 × (y)^12 × (y )^-4 × (z)^10 ×(z)^-4 / √(10x ^4)^2

= 20x^2 × (y )^12-4 × (z)^10-4 / 10x ^4

= 20x^2 × √(y )^8 × √(z)^6 / 10x ^4

= -10x ^4 + 20x ^2 × √(y ^4)^2 × √(z ^3)^2

= -10x ^4 + 20x ^2 (y )^4× (z )^3 is the answer