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kiruha [24]
3 years ago
14

Remove all perfect squares from inside the square root assume y is positive ✔️200y^4

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0
\bf \sqrt{200y^4}\qquad 
\begin{cases}
200=2\cdot 2\cdot 2\cdot 5\cdot 5\\
\qquad 2^2\cdot 2\cdot 5^2\\
y^4=y^{2+2}\\
\qquad y^2\cdot y^2\\
\qquad (y^2)^2
\end{cases}\implies \sqrt[2]{2^2\cdot 2\cdot 5^2\cdot (y^2)^2}
\\\\\\
2\cdot 5\cdot y^2\sqrt{2}\implies 10y^2\sqrt{2}
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