Question

-5zsquare÷√5z please give me answer early​

Answer 1

Given :  $\sf{ {\dfrac{- 5z^2}{\sqrt{5} z}} }$

• On further solving, we get -

$\longrightarrow\sf{ {\dfrac{ - ( \sqrt{5} \times \sqrt{5} ) z^2}{\sqrt{5} z}} }$

• Expanding it.

$\longrightarrow\sf{ {\dfrac{ - \sqrt{5} \times \sqrt{5} \times z \times z}{\sqrt{5} \times z}} }$

$\longrightarrow\sf{- \sqrt{5} \times z}$

$\longrightarrow$ - √5z

Answer 2

Question:-

$\sf \dfrac{-5z²}{\sqrt{5z}}$

Answer:-

$\sf -\sqrt{5z}$

Solution:-

↗$\bf \dfrac{-5z²}{\sqrt{5z}}$

↗By rationalsing the denominator, we get.

➡$\sf \dfrac{-5z²}{\sqrt{5z}} \times \dfrac{\sqrt{5z}}{\sqrt{5z}}$

➡$\sf \dfrac{-5\sqrt{5z^{2}}}{5z^{2}}$

✒Answer:- $-\sqrt{5z}$

Some Additional:-

➡What is rationalization?

• Rationalisation means expressing and geeting rid of surds on the bottom (denominator of the fraction).

➡How to do it?

• Multiply numerator and denominator by a radiacle that will get the radiacle to the denominator .
• Make sure all radiacle are simplified.
• Simply the fraction if needed.