# ARRANGING SURDS IN DESCENDING ORDER

## About "Arranging Surds in Descending Order"

Arranging Surds in Descending Order :

Here we are going to see some example problems of arranging surds in descending order.

## Arranging Surds in Descending Order - Examples

Question 1 :

Solution :

Exponential form of given radical terms.

51/3, 41/9, 31/6

L.C.M of 3, 9 and 6 is 18.

(ii)  Exponential form of given radical terms.

51/6, 71/12, 31/4

Solution :

Question 2 :

Can you get a pure surd when you find

(i) the sum of two surds

(ii) the difference of two surds

(iii) the product of two surds

(iv) the quotient of two surds

Justify each answer with an example.

Solution :

(i)  Let us take an example,

√2 + √2  =  2 √2

Convert into pure surd, we get

2√2  =  √8

√8 is pure surd. Hence the answer is yes.

(ii)  √10 - √5  =  √5

Convert into pure surd, we get

√10 - √5  =  √5(√2 - 1)

(iii) the product of two surds

√10 x √5  =  √50

(iv) the quotient of two surds

√(35/7)  =  √5

Can you get a rational number when you compute

(i) the sum of two surds

(ii) the difference of two surds

(iii) the product of two surds

(iv) the quotient of two surds

Justify each answer with an example.

Solution :

Every integer can be written as rational number. Hence the answer is yes.

After having gone through the stuff given above, we hope that the students would have understood, "Arranging Surds in Descending Order"

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