
How do you simplify ?
Answer
471k+ views
Hint:The above question is based on the concept of square root of a number. The main approach towards solving the equation is to reduce the number 363 into its factors and then further taking common terms
Complete step by step solution:
Square root of a number is a number which is multiplied by itself to give the original number. Now suppose for example if a is the square root of b and it is represented as and also it can be written as . Here the square root sign is called a radical sign. For example, the square of 2 is 4, therefore the square root of 4 is 2.
The above given number is
The above given number is not a perfect square it is an imperfect square .So now will first check the factors of the number 363.It can have factors like 121 and 3.
121 can be further divided into 11 multiplied by 11. So it can be written as
So the square root of 11 multiplied by 11 is a single number 11 since it is a square. Therefore, we can write it has
So, we get the square root of 363 as above value which is .
Note: An important thing to note is that the value is the root form; it can further be simplified by writing it in decimal form. The value of is 1.732 so on further multiplying the value of 1.73 with the number 11 we get the decimal value as 19.052.
Complete step by step solution:
Square root of a number is a number which is multiplied by itself to give the original number. Now suppose for example if a is the square root of b and it is represented as
The above given number is
The above given number is not a perfect square it is an imperfect square .So now will first check the factors of the number 363.It can have factors like 121 and 3.
121 can be further divided into 11 multiplied by 11. So it can be written as
So the square root of 11 multiplied by 11 is a single number 11 since it is a square. Therefore, we can write it has
So, we get the square root of 363 as above value which is
Note: An important thing to note is that the value is the root form; it can further be simplified by writing it in decimal form. The value of
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

What is the technique used to separate the components class 11 chemistry CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
