How do you simplify \[\sqrt {48} \]?
Answer
625.2k+ views
Hint:
In the above question we are given an expression that is \[\sqrt {48} \] which is a radical expression with a square root. So while approaching such kind of questions one should know about the radical expression and the square root of the expression as the radical expression are the those expressions which contain the square root, cube root or fractional form in their expressions and the square root of an expression is the number which when squared or multiplied twice with itself in the simpler language produces the same expression.
Complete step by step solution:
Here we are given a term that is \[\sqrt {48} \] and we are asked the method to simplify it.
So firstly by seeing the expression given we can say that it is a radical expression (the expressions which contain the square root, cube root or fractional form in their expressions) and it has square root also which means we need to find that number which when squared or multiplied with itself twice gives the number that is given to us and asked a square root for it. So the simplification of the given term \[\sqrt {48} \] is done as-
\[\sqrt {48} \] Means that we need to find the square root of the number \[48\]–
Breaking the above term into its further factors to get the desired answer that is as follows-
\[\sqrt[{}]{{3 \times 16}}\]
\[ = 4\sqrt 3 \]
Hence the required answer for the given radical expression in the question is \[\sqrt {48} \]\[ = 4\sqrt 3 \]
Note:
While solving this kind of question one should know about the square root of the numbers and their symbolic representation and the utter concentration which would lead to the precision in the solution and getting the right answer also.
In the above question we are given an expression that is \[\sqrt {48} \] which is a radical expression with a square root. So while approaching such kind of questions one should know about the radical expression and the square root of the expression as the radical expression are the those expressions which contain the square root, cube root or fractional form in their expressions and the square root of an expression is the number which when squared or multiplied twice with itself in the simpler language produces the same expression.
Complete step by step solution:
Here we are given a term that is \[\sqrt {48} \] and we are asked the method to simplify it.
So firstly by seeing the expression given we can say that it is a radical expression (the expressions which contain the square root, cube root or fractional form in their expressions) and it has square root also which means we need to find that number which when squared or multiplied with itself twice gives the number that is given to us and asked a square root for it. So the simplification of the given term \[\sqrt {48} \] is done as-
\[\sqrt {48} \] Means that we need to find the square root of the number \[48\]–
Breaking the above term into its further factors to get the desired answer that is as follows-
\[\sqrt[{}]{{3 \times 16}}\]
\[ = 4\sqrt 3 \]
Hence the required answer for the given radical expression in the question is \[\sqrt {48} \]\[ = 4\sqrt 3 \]
Note:
While solving this kind of question one should know about the square root of the numbers and their symbolic representation and the utter concentration which would lead to the precision in the solution and getting the right answer also.
Recently Updated Pages
Find the greatest six digit number that is exactly class 8 maths CBSE

What is the time difference between India and Cana class 8 social science CBSE

Compare LPG and wood as fuels class 8 chemistry CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

30 opposite words in English from a to z class 8 english CBSE

How many cubic feet equals to 1 unit sand class 8 maths CBSE

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

One cusec is equal to how many liters class 8 maths CBSE

What are the methods of reducing friction. Explain

What is the difference between rai and mustard see class 8 biology CBSE

