Question

Is 9408 a perfect square? Find the
smallest number by which it should be
divided to make it a perfect square. Also,
find the square root.
i need explanation it is better to have a pic ​

Answer 1

Answer:

divide by 3

new number is 3136

3136 square root is 56

Step-by-step explanation:

first, find square if 9408

2| 9408

2| 4704

4|2352

4|0588

3| 147

7 | 49

7| 7

1

thus 9408 = 2^2 * 4^2 *7^2 *3

notice how the 2 doesn't have a second so we should divide 9408 by it to get a perfect square

9408/3 = 2*2*4*4*7*7 *3 /3

                                       /\

3 and 3 cut each other out |

hence 3136 = 2^2 * 4^2 * 7^2

hence 3136 = (2*4*7) ^2

3136 = 56 ^ 2  if needed can check on calcuator and 56 *56 = 3136 if u think i wrong being marked as the brilieantnest would be nice