September 29, 2022 What Is The Square Root Of 1600 – As described below, this application finds the greatest perfect square factor of a radicand. If the greatest perfect square factor is greater than 1, apply the product rule to find the square root of the radical in simplified form and its decimal form up to four places. It also returns the square root of an exact square, such as 16.

9th graders should be able to find the square root of a perfect square number according to Common Core standards. For example, the square root of 16 (√16 ) is equal to 4 because 4 * 4 = 4

## What Is The Square Root Of 1600 = 16.  Therefore, 16 is a perfect square. In additional mathematical terminology, 16 is the radical under the sign ( √ ) in the radical expression √16.

## More On Pythagorean Theorem & Irrational Numbers:q

Knowing that one number is a perfect square and a factor of the other number (a perfect square factor), it is easy to find the square root of a number that is not a perfect square with the radical product rule. For example, 32 is not a perfect square because the whole number multiplied by it is not equal to 32. But 16 is a factor of 32 because 16 * 2 = 32. As mentioned above, 16 is also a perfect square because 4

= 16.  So 16 is a perfect square factor of 32. Basically, 4 is a perfect square factor of 2-32.

= 4 and 4 * 8 = 32. However, 16 is the greatest perfect square factor of 32. And by the product rule for radicals:

32 As the example shows, knowing the factor of a number and its corresponding factor pairs is necessary to effectively simplify its square root. Importantly, the simplified square root is also the exact value of the square root.