Question

Find a number whose square is equal to the difference of the square of the numbers 6467 and 4683

Answer 1

6467-4683 = 1784
1784 = square of 42.237

Answer 2

Answer:

$( {6467)}^{2} - ( {4683)}^{2}$

= [6467+4683] [6467-4683]

= 11150 × 1784

Therefore,The required number

$= \sqrt{11150 \times 1784}$

$=\sqrt{2 \times 5 \times 5 \times 223 \times 2 \times 2 \times 2 \times 223}$

$= 2 \times 2 \times 5 \times 223$

$= 4460$