what is the degree of the surd√7
Answers
Step-by-step explanation:
Hey mates your ans is 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.
Surds Definition
Surds are the square roots (√) of numbers which cannot be simplified into a whole or rational number. It cannot be accurately represented in a fraction. In other words, a surd is a root of the whole number that has an irrational value. Consider an example, √2 ≈ 1.414213. It is more accurate if we leave it as a surd √2.
Types of Surds
The different types of surds are as follows:
Simple Surds – A surd that has only one term is called simple surd. Example: √2, √5, …
Pure Surds – Surds which are completely irrational. Example: √3
Similar Surds – The surds having the same common surds factor
Mixed Surds – Surds that are not completely irrational and can be expressed as a product of a rational number and an irrational number
Compound Surds – An expression which is the addition or subtraction of two or more surds
Binomial Surds – A surd that is made of two other surds
Six Rules of Surds
Rule 1:
a×b−−−−√=a−−√×b√
Rule 2:
ab−−√=a√b√
Rule 3:
ba√=ba√×a√a√=ba√a
You can rationalize the denominator by multiplying the numerator and denominator by the denominator.
Rule 4:
ac√±bc√=(a±b)c√
Rule 5:
ca+bn√
Multiply top and bottom by a-b √n
This rule enables us to rationalise the denominator.
Rule 6:
ca−bn√
This rule enables you to rationalise the denominator.
Multiply top and bottom by a + b√n