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

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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Step-by-step explanation:

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Step-by-step explanation:

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<em>More detailed solution</em>

There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...

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How do I solve this question?

zubka84 [21]

Answer:

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Step-by-step explanation:

No need for a calculator.

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