Question

Square root short cut method explain​

Answer 1

Answer:

https://testbook.com/blog/shortcut-to-find-square-root-of-a-number/amp/

Shortcut to Find Square Root of a Number - Learn Now ...

Answer 2

Answer:

Short Cut methods to square root calculation with examples

Definition of square root : Mathematically, it is defined as ” square root of a number is a value that, when multiplied by itself, gives the number”. i.e When a number is multiplied by itself to give the square of number then that number is a square root for that square number. Square root represented by a the symbol ” √ ”

Now here we learn different methods for finding the square root

• Square Root of a any number by the long division method. (It is general method for square root calculation).
• Square Root of a Perfect Square by using the Prime Factorization Method.
• Short cut trick for find the square root for perfect square number.
• Approximate Square Root of any number which is not a Perfect square .

Square Root of a any number by the long division method.

Here explain with example in step by step.

Take a example Find √650 to one decimal place.

Step 1 : The given number to be group the digits in pairs, and the remaining digit (if any) is called a period.

Here our given number 650. So it is group as 6 – 50

Step 2 : Find the largest number whose square is equal to or just less than the first period or pair. Here Square the 2, giving 4, and Square the 3, giving 9. So write 4 that underneath the 6. Take the number ‘ 2 ” as the divisor and also as the quotient.

Step 3 : Now take Subtract the product of the divisor and the quotient (i.e 2 x 2 = 4) from the first period or pair ( i.e 4). Bring down the next pair of digits and this becomes the new dividend.

square root calculation methods | square root formulas | Square Root of a any number by the long division method

Step 4: Now, the new divisor is obtained by taking two times the quotient. Here quotient is 2 so new divisor 2 x 2 = 4 and the new dividend is 250.

square root calculation methods | square root formulas | Square Root of a any number by the long division method

Step 5: Now think suitable single digit number which is also taken as the next digit of the quotient. The single digit is to be choose like the product of that product of the new divisor and the this single digit to be equal to or just less than the new dividend.

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