Answer:
the answer is: [tex]5y^6 \sqrt{2}[/tex]
Step-by-step explanation:
We need to solve the equation:
[tex]\sqrt{50y^{12}}[/tex]
We know 50 = 2*5*5
2*5*5 can be written as: 2* 5^2
and √ = 1/2
Solving:
[tex]=\sqrt{2*5*5*y^{12}}\\= \sqrt{2*5^2*y^{12}}\\=(2)^{1/2}*(5^2)^{1/2}*y^{12}^{1/2}\\=(2)^{1/2}*5*y^6\\=5y^6 \sqrt{2}[/tex]
So, the answer is: [tex]5y^6 \sqrt{2}[/tex]
