Question

By what number should -33/16 be divided to get -11/4? (steps please)

Answer 1

Step-by-step explanation:

Answer:

Here we are going to see how to find the least number should be divided to get a perfect square.

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

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.

Example 2 :

Find the smallest whole number by which the following number should be divided so as to get a perfect square.Also find the square root of the number so obtained.

2925

hope it helps