Name: Patterns of Square Numbers
Uploaded: 2019-07-19
Duration: 9 min 26 s
Description: Did you know that square numbers form various patterns? The square of any odd natural number apart from 1 can be expressed as the sum of two consecutive natu...

Question

Find the square roots of the following number by division method.

$2304$

Accepted Answer

Let us find square root of $2304$ by division method,

Pair the digits of the given number, starting from units place to the left. Place a bar on each pair.

Find the largest number whose square is less than or equal to the first pair or single digit from left (i.e. $4$ ). Take this number as the divisor and the quotient.

Subtract the product of the divisor and quotient $(4 \times 4 = 16)$ from first pair or single digit (i.e. $23 - 16 = 7$ )

Bring down the second pair (i.e. $04$ ) to the right of the Remainder ( i.e, $7$ ). This becomes the new dividend (i.e. $704$ ).

For the next possible divisor double the quotient (i.e $4 \times 2 = 8$ ).

Guess the largest possible digit in such a way that the product of the new divisor and this digit is equal to or less than the new dividend (i.e. $88 \times 8 = 704$ ).

By subtracting, we get the remainder zero. The final quotient $48$ , is the square root
$∴ \sqrt{2304} = 48$

$\begin{matrix} 4 & 23 04 & 48 \\ 16 \\ 88 & 704 \\ 704 \\ 0 \end{matrix}$

Find the square roots of the following number by division method.

$2304$

Important Questions on Square Roots and Cube Roots

Learn and Prepare for any exam you want !

Find the square roots of the following number by division method. 2304

Important Questions on Square Roots and Cube Roots

Learn and Prepare for any exam you want !

Find the square roots of the following number by division method.

$2304$