
Evaluate: .
Answer
438.3k+ views
Hint: We can find the square of a number using many methods, but we are going to use the mathematical identity to find its square. The identity we will be using is
Here, we need to express 101 as a sum of two numbers and then use the above identity.
Complete step-by-step answer:
In this question, we have to find the square of 101 using the identity.
Now, we can find the square using many different methods like log method, but in this question, we are going to use the mathematical identity to find the square of a number.
The identity is
So, we are going to use this identity to find the square of 101.
For that, we need to express 101 as a sum of two numbers. Now, we could do this in many ways like , but we need to express it in such a way that we do not need to use the calculator. So, we will be expressing 101 as .
Hence, and . So, using the identity we will get
Hence, the square of 101 is 10201.
Note: We can also find the square of 101 using another property, that is .
Here, we need to express 101 as a difference of two numbers instead of sum of two numbers. So, we can express 101 as . Hence, using the identity we will get,
Hence, the square of 101 is 10201.
Here, we need to express 101 as a sum of two numbers and then use the above identity.
Complete step-by-step answer:
In this question, we have to find the square of 101 using the identity.
Now, we can find the square using many different methods like log method, but in this question, we are going to use the mathematical identity to find the square of a number.
The identity is
So, we are going to use this identity to find the square of 101.
For that, we need to express 101 as a sum of two numbers. Now, we could do this in many ways like
Hence,
Hence, the square of 101 is 10201.
Note: We can also find the square of 101 using another property, that is
Here, we need to express 101 as a difference of two numbers instead of sum of two numbers. So, we can express 101 as
Hence, the square of 101 is 10201.
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Questions & Answers - Ask your doubts

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Science: Engaging Questions & Answers for Success

Trending doubts
What is the full form of AD a After death b Anno domini class 6 social science CBSE

How many millions make a billion class 6 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Four bells toll together at 900am They toll after 7811 class 6 maths CBSE

Name the countries which are larger than India class 6 social science CBSE

How many lightyears away is the sun from the earth class 6 social science CBSE
