Answer

Verified

426.9k+ views

**Hint:**In mathematics, a square number or perfect square is an integer that is the square of an integer, in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as $3 \times 3 .$ The usual notation for the square of a number n is not the product $n \times n,$ but the equivalent exponentiation $n^{2}$, usually pronounced as "n squared". The name square number comes from the name of the shape. The unit of area is defined as the area of a unit square type of figurate numbers.

**Complete step-by-step answer:**$216=\underline{2\times 2}\times \underline{3\times 3}\times 3$

Here, pairs 2 and 3 are not completed. So, 216 is not a Perfect Square. The number should be divided by $2 \times 3$ to make it a perfect square.

$216 \div 6=36$

Factors of $36=2 \times 2 \times 3 \times 3$

Now, 36 is a perfect square. Hence, the smallest number that should be divided from 216 so that the quotient is a perfect square, is 6.

**Hence, the correct answer is Option C.**

**Note:**In mathematics, a square is a product of the whole number with itself. For instance, the product of a number 2 by itself is 4. In this case, 4 is termed as a perfect square. A square of a number is denoted as: $n \times n,$ similarly, the exponential notation of the square of a number is $n^{2}$, usually pronounced as "$n$” squared. Square numbers are usually non- negative.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE