What is the order of the surd 147? *
Answers
Answer:
ja Jake maths teacher ko puch ke aaja
Answer:
wrong question but some explanation about surd
Step-by-step explanation:
The order of a surd indicates the index of root to be extracted.
In a−−√nan, n is called the order of the surd and a is called the radicand.
For example: The order of the surd z√5z5 is 5.
(i) A surd with index of root 2 is called a second order surd or quadratic surd.
The surds which have the indices of root 2 are called as second order surds or quadratic surds. For example√2, √3, √5, √7, √x are the surds of order 2.
Example: √2, √5, √10, √a, √m, √x, √(x + 1) are second order surd or quadratic surd (since the indices of roots are 2).
ii) A surd with index of root 3 is called a third order surd or cubic surd.
If x is a positive integer with nth root, then is a surd of nth order when the value of is irrational. In expression n is the order of surd and x is called as radicand. For example is surd of order 3.
The surds which have the indices of cube roots are called as third order surds or cubic surds. For example ∛2, ∛3, ∛10, ∛17, ∛x are the surds of order 3 or cubic surds.
Example: ∛2, ∛5, ∛7, ∛15, ∛100, ∛a, ∛m, ∛x, ∛(x - 1) are third order surd or cubic surd (since the indices of roots are 3).
(iii) A surd with index of root 4 is called a fourth order surd.
The surds which have the indices of four roots are called as forth order surds or bi-quadratic surds.
For example ∜2, ∜4, ∜9, ∜20, ∜x are the surds of order 4.
Example: 2–√424, 3–√434, 9–√494, 17−−√4174, 70−−√4704, a−−√4a4, m−−√4m4, x−−√4x4, x−1−−−−−√4x−14 are third order surd or cubic surd (since the indices of roots are 4).