Solutions

DNU365 ;Date:30/06/20

1. Since x>or=0 so number will lie on positive side of number line.

Types of no possible would be:a) whole number;b) rational number;c) positive integral numbers;d) positive fractional numbers.

2.since 1/√2 and 1/√3 are irrational numbers so zero rational no will lie.

3.(2+√2)(2+√2)=a+b√

= 4+4√2 +2 =a+b√2

= 6+4√2= a+b√2

Therefore a=6 and b=4

Now to find 1/a√3+b√2 we have to put a=6 and b=4.

Thus 1/6√3+4√2 rationalise and get .. 6√3-4√2/76 .

4 and 5 questions are of very basic level so can easily be done.

6. (√a+b)²= (a+√b)²

a+2×√a×b +b²= a²+2×a×√b +b

Put a=9 in above equation and get b=±4/9

So a/b= 9/4/9 =81/4.

7. Definition of rational number ,integer,natural number,whole number,etc..

Represent 2,-2,4/3,0 ....etc

1. It's very basic and can be done easily

LHS

X+√Y/X-√Y

On rationalising we get

(X+√Y)²/X²-Y

Put X=2 and Y =1 we get the value 3.

Which is equal to RHS.