List of Perfect Squares

Square root of any number in Mathematics is that number which when multiplied by itself gives the product equal to the number whose square root is to be determined. Square root of a number is represented as the number written within the symbol ‘√’….Square Root Formulas with Examples.

The 4th root of 256 is 4. As we know, the square root of a number is a value, which on multiplied by itself gives the original number. Similarly, the 4th root of any number is equal to a number, which when raised to the power 4 gives the original number.

This is because the without a sign in front signifies the principal square root which is always positive. To signify both the positive and negative square roots we use which is equal to both +4 and -4. So any positive real number, like 16, actually has 2 square roots, one positive, the other negative.

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

The number 85 is not a perfect square, so its value can be approximated between 9 and 10. √85 = 9.21. The exact value of the square root of 85 can be calculated using long division.

85 is not a prime number; it is a composite number. 85 can be divided evenly by 1 and by 85.

The first 10 multiples of 85 are 85, 170, 255, 340, 425, 510, 595, 680, 765 and 850. Therefore, Sum of first 10 multiples: 85 + 170 + 255 + 340 + 425 + 510 + 595 + 680 + 765 + 850 = 4675.

The value of the square root of 576 is equal to 24.