If the triangle is a right triangle, then it follows the Pythagorean Theorem. Therefore:

--->

At this point, factor out the greatest perfect square from our radical:

Simplify the perfect square, then repeat the process if necessary.

Since is a prime number, we are finished!

If the triangle is a right triangle, then it follows the Pythagorean Theorem. Therefore:

--->

At this point, factor out the greatest perfect square from our radical:

Simplify the perfect square, then repeat the process if necessary.

Since is a prime number, we are finished!

√75 can be broken down to √25 * √3. Which simplifies to 5√3.

We know that 25 is a factor of 50. The square root of 25 is 5. That leaves which can not be simplified further.

√75 can be broken down to √25 * √3. Which simplifies to 5√3.

We know that 25 is a factor of 50. The square root of 25 is 5. That leaves which can not be simplified further.

When simplifying square roots, begin by prime factoring the number in question. For , this is:

Now, for each pair of numbers, you can remove that number from the square root. Thus, you can say:

Another way to think of this is to rewrite as . This can be simplified in the same manner.

When simplifying square roots, begin by prime factoring the number in question. For , this is:

Now, for each pair of numbers, you can remove that number from the square root. Thus, you can say:

Another way to think of this is to rewrite as . This can be simplified in the same manner.

To simplify a square root, you have to factor the number and look for pairs. Whenever there is a pair of factors (for example two twos), you pull one to the outside.

Thus when you factor 96 you get

To simplify a square root, you have to factor the number and look for pairs. Whenever there is a pair of factors (for example two twos), you pull one to the outside.

Thus when you factor 96 you get