# Square Root Tricks

Knowing square root tricks to find square of numbers proves to be very helpful when you are solving complex equations which will not take much time for getting solved.

Suppose we need to find the square root of large numbers such as 4489. The unit digit in this number is 9 which can be a unit digit of its square root number is 3 or 7 because 32 is 9 and 72 is 49 and now let’s consider the first two digits that is 44 which comes between the squares of 6 and 7 because 62 < 44< 72 so we can assume that the ten’s digit of square root of 4489 is the lowest among the two numbers i.e. 6 and we need to find the unit digit of the square root of the number 4489. For that, we need to find between 63 or 67 which is the square root of 4489. Since the ten’s digit is 6 and the next number is 7, we need to multiply both the numbers like 6 x 7 = 42 and since 42 is less than 44. Square root of 4489 will be the bigger number between 63 and 67 i.e. 67.

Let have a look at another example, the square root of 7056.

Now, consider the unit digit that is 6. Which all numbers have unit digit 6 on their square roots. That are 4 and 6 because 42 is 16 and 62 is 36 and now let’s consider the first two digits that is 70 which comes between the squares of 8 and 9 because 82 < 70 <92 so we can assume that the ten’s digit of square root of the 7056 is the lowest among the two numbers that is 8 and now, we need to find the unit digit of the square root of the number 7056. For that, we need between 84 and 86 which is the square root of 7056. Since the ten’s digit is 8 and the next number is 9, we need to multiply both the numbers like 8 x 9 = 72 and since 72 is bigger than 70. Square root of 7056 will be the lesser number between 84 and 86 that is 84.

Just like this method, you can get various square roots tricks pdf on the web for finding the square roots of large numbers and with these tricks you could solve an equation within no time.

#### Practise This Question

Separate the variables in the below given equation.

7x - 2y = 5xy

After separating the variables equation is of the form

72 = 5