please send me the details of the above questions solve 2,3,4
ques 1) find the smallest number by which 7350 must be divided to make it perfect square
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➤ Correct Question
Find the smallest number by which 7350 must be divided to make it perfect square.
➤ Answer
- The smallest number by which 7350 must be divided to make it perfect square = 6.
➤ To Find
- To find the smallest number by which 7350 must be divided to make it perfect square.
➤ Step By Step Explanation
- Step 1.
- Find all the prime factors using prime factorization.
7350 = 2 × 3 × 5 × 5 × 7 × 7
[ Note - picture is attached above ]
- Step 2.
- Make pairs of all the numbers.
7350 = 2 × 3 × 5² × 7²
We see that 2 and 3 does not make any pair.
- Step 3.
➵ Therefore the smallest number by which 7350 must be divided to make it perfect square is 2 × 3 => 6.
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