solving quadratic equations with square roots calculator

Thus, √15 lies between 3.5 and 4 and is closer to 4. Now, we need to see if √15 is closer to 3 or 4. This implies that √15 lies between 3 and 4.

9 and 16 are the perfect square numbers nearest to 15. Find the nearest perfect square number to 15.

This method helps in estimating and approximating the square root of a given number. Finding Square Root by Estimation MethodĮstimation and approximation refer to a reasonable guess of the actual value to make calculations easier and more realistic. This method works when the given number is a perfect square number. Let us find the square root of 144 by this method. Step 5: That product is the square root of the given number.Step 4: Find the product of the factors obtained by taking one factor from each pair.Step 2: Form pairs of factors such that both factors in each pair are equal.Step 1: Divide the given number into its prime factors.To find the square root of a given number through the prime factorization method, we follow the steps given below: Prime factorization of any number means to represent that number as a product of prime numbers. Thus,√16 = 4 Square Root by Prime Factorization Method You can observe that we have subtracted 4 times. Let us find the square root of 16 using this method. This method works only for perfect square numbers. The number of times we subtract is the square root of the given number. We subtract the consecutive odd numbers from the number for which we are finding the square root, till we reach 0.

Repeated Subtraction Method of Square Root It should be noted that the first three methods can be conveniently used for perfect squares, while the fourth method, i.e., the long division method can be used for any number whether it is a perfect square or not. We can use four methods to find the square root of numbers and those methods are as follows: In other words, perfect squares are numbers which are expressed as the value of power 2 of any integer. Perfect squares are those positive numbers that can be expressed as the product of a number by itself. It is very easy to find the square root of a number that is a perfect square. To find the square root of a number, we just see by squaring which number would give the actual number.

Solving quadratic equations with square roots calculator