# Free CBSE Class 9 Maths Number system Worksheets

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## Sample CBSE Class 9 Maths Number system Worksheet Questions

1.

If x = $2&space;+&space;3\sqrt{2}$, then find the value of (x+14/x)

2.

If x = $\sqrt{(p&space;+&space;q)}&space;+&space;\sqrt{(p&space;-&space;q)}/\sqrt{(p&space;+&space;q)}&space;-&space;\sqrt{(p&space;-&space;q)}$, then find the value of qx2-2px+q

3.

Simplify $3\sqrt{2}/(\sqrt{6}-\sqrt{3})&space;+&space;2\sqrt{3}/(\sqrt{6}+2)&space;-&space;4\sqrt{3}/(\sqrt{6}-\sqrt{2})$

4.

Simplify $6/(2\sqrt{3}-\sqrt{6})&space;+&space;\sqrt{6}/(\sqrt{3}&space;+&space;\sqrt{2})&space;-&space;4&space;\sqrt{3}/(\sqrt{6}&space;-&space;\sqrt{2})$

5.

For rationalising the denominator of the expression $1/\sqrt{12}$ we multiply & divide by

1. 1/\sqrt{12} 2. 12 3. \sqrt{2} 4. \sqrt{3}
6.

Determine the rational number p & q if $(7&space;+\sqrt{5})/(7&space;-&space;\sqrt{5})$ - $(7&space;-\sqrt{5})/(7+\sqrt{5})$ = p-7$\sqrt{5}$q

7.

If x= $(2-\sqrt{5})/(2+\sqrt{5})$& y=$(2+\sqrt{5})/(2-\sqrt{5})$ find the value of x2-y2

8.

If x= $(\sqrt{3}-\sqrt{2})/(\sqrt{3}+\sqrt{2})$ & y=$(\sqrt{3}+\sqrt{2})/(\sqrt{3}-\sqrt{2})$, find the value of x2+y2+xy

9.

(16)3/4 is equal to

1. Â 2 2. 4 3. 8 4. 16
10.

The value of 1/$\sqrt{10}$ when $\sqrt{10}$ = 3.162 is

1. .3162 2. 31.62 3. .03162 4. 316.2

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