Question

Express 2/3.√18 as a pure surd
( please explain step by step ,I didn't understand question itself ,so please ) ​

Answer 1

Answer:

2√2 is the pure surd value of 2/3.√18

Step-by-step explanation:

In any surd if the “rational factor” is absent then it is termed as “pure surd” or “complete surd”.

Similarly if the surd possesses a “rational factor” then it will be termed as “mixed surd”.

To convert  2/3.√18 into pure surd we raise it to the power of 2 i.e. we square the number 2/3.√18  and cover the solution in square root.

√[2/3*(√18)^2] =√4/9*18 =√4*2 =√8 = 2√2

Hence “the pure surd” of 2/3.√18  is equal to 2√2 .