Maths-
General
Easy
Question
Find the smallest square number by which 9408 must be divided , so that it becomes a perfect square.
Hint:
By prime Factorize the given number and we find the number to be divided to get the perfect square.
The correct answer is: 3
Ans :- 3
Explanation:-
prime factorize 9408
9408 = 2 × 4704
= 2 × 2 × 2352
= 2 × 2 × 2 × 1176
= 2 × 2 × 2 × 2 × 588
= 2 × 2 × 2 × 2 × 2 × 294
= 2 × 2 × 2 × 2 × 2 × 2 × 147
= 2 2 × 2 × 2 × 2 × 2 × 3 × 49
= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7
![equals 2 to the power of 6 cross times 3 cross times 7 squared equals 3 open parentheses 2 cubed cross times 7 close parentheses squared equals 3 left parenthesis 56 right parenthesis squared](data:image/png;base64,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)
By observation if we divide the number 9408 by 3 we get the perfect square.
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(i) AOB ⩭ DOC
(ii) AB || CD
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)
In the figure, OA = OD and OB = OC. Show that:
(i) AOB ⩭ DOC
(ii) AB || CD
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)
Maths-General