Types and Simplest Form of Surds
Trending Questions
Q.
Which of the following surds is/are pure surds?
5−√2
√3
5√2
2+√3
Q. Expressed 0.55.. in the form pq where p and q are integers and q ≠ 0.
Q. When you express 0.¯¯¯¯¯¯21 in the form pq, where p and q are integers and q≠0, which of the following are the possible values of (p+q)?
- 66
- 72
- 80
- 96
Q. In the simplest pq form of 0.¯¯¯¯¯¯18, find p+q.
- 13
Q. State which of the following are irrational numbers.
(3–√6)2
(3–√6)2
Q.
Express the following mixed surd in the form of a pure surd.
43√5
- 3√320
- 3√250
- 3√625
- 3√1250
Q.
The value of 3√54÷2√2 is
2√23
9√32
√32
√23
Q. In the simplest pq form of 0.¯¯¯¯¯¯18, find p+q.
- 13
Q.
Which of the following is NOT a pair of like surds
(2×2√63), (3×2√12)
(7×2√128), (4×2√242)
(5×2√108), (6×2√192)
(3×2√80), (4×2√245)
Q. State whether the given statement is true or false.
The sum of two irrational numbers is irrational.
The sum of two irrational numbers is irrational.
- True
- False
Q.
Which one of the following is a compound surd?
2√12+2√27+2√48
2√48+2√80+2√20
2×2√72+3×2√32
5×2√20+2×2√45+2√80
Q. Burst the irrational numbers which can be expressed as the pure surds.
- √5
- √3+√2
- √2+√8
- 3√54
- 4√4
- \N
- 3
- 5√2