sqrt(24)

*I don't really get this stuff.Can somebody please help me?

The square root of 24 is 4.898979485566356

I know that..lol,but it says not to use decimals.Here is an example they gave me.
Ex.sqrt(18)=sqrt(2*3*3)=3sqrt(2)

sqrt[24] = sqrt[4*2*3] =
sqrt[4]*sqrt[2]*sqrt[3]=
2*sqrt[2]*sqrt[3]

Square root of 66

To find the square root of 24 without using decimals, you can simplify the square root expression by factoring out perfect square factors.

First, observe that 24 can be written as 4 * 2 * 3.

Next, use the property of square roots that allows you to separate the factors inside the square root sign.

So, sqrt[24] can be simplified as sqrt[4]*sqrt[2]*sqrt[3].

Now, simplify each of these square roots.

The square root of 4 is 2, since 2 * 2 = 4.

The square root of 2 remains as sqrt[2] since 2 is not a perfect square.

The square root of 3 also remains as sqrt[3] since 3 is not a perfect square.

Bringing it all together, sqrt[24] simplifies to 2*sqrt[2]*sqrt[3].

Therefore, the square root of 24 in simplified radical form is represented as 2sqrt[2]*sqrt[3].