Question

Simplify the radical

Answer 1

`\boxed{\tt = y {}^(2) \cdot \: z {}^(3) √(z)}`

Explanation:

Given,

`\sqrt{y {}^(4) \cdot {z}^(2) }`

Solution:

`= \sqrt{( y {}^(2) {})^(2) \cdot \: z {}^(6) z}`

`= \sqrt{( y {}^(2) {})^(2) \cdot \: (z {}^(2)) {}^(3) z}`

`= \sqrt{( {y}^(2) z {}^(3)) {}^(2)\cdot z }`

`= y {}^(2) \cdot \: z {}^(3) √(z)`

Answer 2

`√(y^4z^7)= √(y^4*z^6*z)= √((y^2)^2*(z^3)^2*z)=y^2z^3 √(z)`

I hope this helps