1.

5. Find the least number by which 8450 should be divided to make itperfect square. Find also the square root of the resulting numbetFind the least number which must​

Answer»

Step-by-step explanation:

For this, we use the method called prime factorization.

Step 1 :

Find the prime factors of the given number.

Step 2 :

To find the square root, we have to group the factors as pairs.

Step 3 :

By grouping the factors as pairs, we MAY find some of the numbers which are being extra.These are the required numbers to be divided in order make the given number as a perfect square.

Example 1 :

Find the LEAST number by which 384 must be divided to make it a perfect square.

Solution :

Step 1 :

Let us find the prime factors of 384 using the method prime factorization.

Step 2 :

384 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3

Step 3 :

‘3’ and '2' remains without a pair.

Hence, 384 must be divided by 6 to make it a perfect square.

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