Answer :

Banabanana
[tex] \sqrt{y^4z^7}= \sqrt{y^4*z^6*z}= \sqrt{(y^2)^2*(z^3)^2*z}=y^2z^3 \sqrt{z} [/tex]

I hope this helps
Itz5151

Answer:

[tex]\boxed{\tt = y {}^{2} \cdot \: z {}^{3} \sqrt{z}}[/tex]

Step-by-step explanation:

Given,

[tex] \sqrt{y {}^{4} \cdot {z}^{2} } [/tex]

Solution:

[tex] = \sqrt{( y {}^{2} {})^{2} \cdot \: z {}^{6} z} [/tex]

[tex]= \sqrt{( y {}^{2} {})^{2} \cdot \: (z {}^{2}) {}^{3} z} [/tex]

[tex] = \sqrt{( {y}^{2} z {}^{3}) {}^{2}\cdot z } [/tex]

[tex] = y {}^{2} \cdot \: z {}^{3} \sqrt{z} [/tex]

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