Question

on dividing 3x^2y by √3xy^2,tge quotient obtained is________​

Answer 1

$\huge\mathbb{↑↑SOLUTION↑↑}$

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Answer 2

On dividing $3x^{2}y$ by $\sqrt{3}xy^{2}$, the quotient obtained is $\dfrac{\sqrt{3}x}{y}$.

Step-by-step explanation:

To find the required quotient, we divide the first term by the second term.

Now, $(3x^{2}y)\div (\sqrt{3}xy^{2})$

$=\dfrac{3x^{2}y}{\sqrt{3}xy^{2}}$

• Tip. We express $x^{2}$ and $y^{2}$ as $x\times x$ and $y\times y$ respectively.
• Also, $3=\sqrt{3}\times\sqrt{3}$

$=\dfrac{\sqrt{3}\times\sqrt{3}\times x\times x\times y}{\sqrt{3}\times x\times y\times y}$

• Tip. Since $x\neq 0,y\neq 0$, we divide both the numerator and the denominator by $xy$
• Also, divide them by $\sqrt{3}$

$=\dfrac{\sqrt{3}\times x}{y}$

$=\bold{\dfrac{\sqrt{3}x}{y}}$