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
Answers
Answered by
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
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