Question

do with step wise full explain I mark you as brainlist ok​

Answer 1

Hey there! This is how you can evaluate the expression:

$5 \sqrt{45} \div \dfrac{\sqrt{75}}{\sqrt{5}}$

First, take the Square Root over the whole fraction as shown:

$=5 \sqrt{45} \div \sqrt{\dfrac{75}{5}}$

Then simplify that fraction:

$=5 \sqrt{45} \div \sqrt{15}$

Now, write it in this form:

$=5 \sqrt{45} \times \dfrac{1}{\sqrt{15}}$

You can combine the two fractions to get this:

$=5 \dfrac{\sqrt{45}}{\sqrt{15}}$

Take the square root as a whole:

$=5 \sqrt{\dfrac{45}{15}}$

Now you can simplify that also, and get this:

$=5 \sqrt{3}$

So your final answer is $=5 \sqrt{3}$

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