Chapter 2. Exponents and Radicals NIOS Class 10 Mathematics Chapter-Wise Important Questions and Answers
Chapter 2. Exponents and Radicals | NIOS Class 10 Mathematics Important Questions, Fully Solved Answers, and Chapter-wise Exam Preparation Guide.
Chapter 2. EXPONENTS AND RADICALS
Optional Questions and Answers for Exponents and Radicals [1 Mark]
Question: The number obtained on rationalizing the denominator of 
is :
(a) 
(b) 
(c) 
(D) 
Answer: (a)
[ We have, 
Question: 
is equal to :
(a) 
(b) 
(c) 
(d) 
Answer: (d) .
[ We have, 
]
Question: The value of 
is :
(a) 
(b) 
(c) 9 (d) 
Answer: (a)
[ We have, 
]
Question: The value of 
is :
(a) 4 (b) 5 (c) 6 (d) 7
Answer: (c) 6
[ We have, 
]
Short Questions and Answers for Exponents and Radicals [1 or 2 Mark]
Question: Simplify : 
.
Solution: We have, 
Question: Simplify each of the following: (i) 
(ii) 
(iii) 
Solution: (i) We have, 
(ii) We have, 
(iii) We have, 
Question: Find x so that 
Solution: We have,
Question: Simplify each of the following:
1. 
2. 
3. 
4. 
5. 
Solution: 1. We have, 
2. We have, 
3. We have, 
4. We have, 
Question: Multipliy 
.
Solution: We have, 
Long Questions and Answers for Exponents and Radicals [ 3 or 4 or 5 Marks]
Question: Find x so that 
Solution: We have, 
Question: Simplify : 
Solution: We have, 
Question: Rationalise the denominator of 
Solution: We have, 
Question: If 
. Find 
.
Solution: We have,
Question: Find the values of 
in each of the following :
(i) 
(ii) 
(iii) 
(iv) 
Solution: (i) We have,
(ii) We have,
(iii) We have,
(iv) We have, 
or 
Question: If 
, then find the value of 
.
Solution: We have, 
Question: If 
and 
, then what will be the value of 
?
Solution: We have, 
and 
Question: Simplify : 
Solution: We have,
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