SSLC (English Medium) Class 9 - Tamil Nadu Board of Secondary Education Question Bank Solutions

By using identity evaluate the following:

7³ – 10³ + 3³ 

By using identity evaluate the following:

`1 + 1/8 - 27/8`

If 2x – 3y – 4z = 0, then find 8x³ – 27y³ – 64z³ 

Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:

Simplify the following using addition and subtraction properties of surds:

`5sqrt(3) + 18sqrt(3) - 2sqrt(3)`

Simplify the following using addition and subtraction properties of surds: 

`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`

Simplify the following using addition and subtraction properties of surds: 

`3sqrt(75) + 5sqrt(48) - sqrt(243)`

Simplify the following using addition and subtraction properties of surds: 

`5root(3)(40) + 2root(3)(625) - 3root(3)(320)`

Simplify the following using multiplication and division properties of surds:

`sqrt(3) xx sqrt(5) xx sqrt(2)`

Simplify the following using multiplication and division properties of surds:

`sqrt(35) ÷ sqrt(7)`

Simplify the following using multiplication and division properties of surds:

`root(3)(27) xx root(3)(8) xx root(3)(125)`

Simplify the following using multiplication and division properties of surds:

`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`

Simplify the following using multiplication and division properties of surds:

`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`

If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.

`sqrt(40) - sqrt(20)`

If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.

`sqrt(300) + sqrt(90) - sqrt(8)`

Which of the following statement is false?

`sqrt(27) + sqrt(12)` =

`4sqrt(7) xx 2sqrt(3)` =

When `(2sqrt(5) - sqrt(2))^2` is simplified, we get

`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______