Simplification
-
The square root of : (0.75)3 + [0.75 + (0.75)2 + 1 ] is : 1 − 0.75
-
View Hint View Answer Discuss in Forum
= (0.75)3 + (1 − 0.75) ((0.75)2 + 0.75 × 1 + 12) 1 − 0.75 = (0.75)3 + 13 − (0.75)3 0.25 = 1 = 100 = 4 0.25 25
∴ Required square root
= √4 = 2Correct Option: C
= (0.75)3 + (1 − 0.75) ((0.75)2 + 0.75 × 1 + 12) 1 − 0.75 = (0.75)3 + 13 − (0.75)3 0.25 = 1 = 100 = 4 0.25 25
∴ Required square root
= √4 = 2
- What is the square root of 0.09?
-
View Hint View Answer Discuss in Forum
√0.09 = √0.3 × 0.3 = 0.3
Correct Option: A
√0.09 = √0.3 × 0.3 = 0.3
-
The value of (3 + √8) + 1 − (6 + 4√2) is 3 − √8
-
View Hint View Answer Discuss in Forum
1 = 3 + √8 3 − √8 (3 − √8)(3 + √8)
(Rationalising the denominator)= 3 + √8 = 3 + √8 9 − 8
∴ Expression
= 3 + √8 + 3 + √8 − 6 − 4√2
= 6 + 2√8 − 6 − 4√2 = 2√8 − 4√2
= 2 × 2√2 − 4√2 = 0Correct Option: D
1 = 3 + √8 3 − √8 (3 − √8)(3 + √8)
(Rationalising the denominator)= 3 + √8 = 3 + √8 9 − 8
∴ Expression
= 3 + √8 + 3 + √8 − 6 − 4√2
= 6 + 2√8 − 6 − 4√2 = 2√8 − 4√2
= 2 × 2√2 − 4√2 = 0
-
The value of 4 − √216 is close to 4 + √0.4
-
View Hint View Answer Discuss in Forum
4 − √216 4 + √0.4 = 4 − 0.2 4 + √0.4 = 3.8 = 3.8 = 0.8 4 + 0.632 4.632
= (a + b) = 0.08 + 0.02 = 0.1Correct Option: B
4 − √216 4 + √0.4 = 4 − 0.2 4 + √0.4 = 3.8 = 3.8 = 0.8 4 + 0.632 4.632
= (a + b) = 0.08 + 0.02 = 0.1
-
√24 + √216 is equal to √96
-
View Hint View Answer Discuss in Forum
√24 + √216 √96 = 2√6 + 6√6 4√6 = 8√6 = 2 4√6 Correct Option: D
√24 + √216 √96 = 2√6 + 6√6 4√6 = 8√6 = 2 4√6
