Question

root 54* root 125* / root 24* root 45* ?​

Answer 1

Answer: When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.

Step-by-step explanation:

Answer 2

Answer:

The value is $\frac{5\sqrt{3} }{3\sqrt{5} }$.

Step-by-step explanation:

The square root of a number is defined as the value, which gives the number when it is multiplied by itself.

We are given that:

$\frac{\sqrt{54} *\sqrt{125} }{\sqrt{24} *\sqrt{45} }$

As we know that $\sqrt{54} =\sqrt{9*6} =3\sqrt{6}=2\sqrt{3}\sqrt{2}$

$\sqrt{125} =\sqrt{25*3} =5\sqrt{3}$

$\sqrt{24} =\sqrt{4*3*2} =2\sqrt{3} \sqrt{2}$

$\sqrt{45} =\sqrt{9*5} =3\sqrt{5}$

Hence, equation becomes

$\frac{2\sqrt{3}\sqrt{2}*5\sqrt{3}}{2\sqrt{3} \sqrt{2}*3\sqrt{5} }$

Solving we get

$=\frac{5\sqrt{3} }{3\sqrt{5} }$

#SPJ2