definition

Parin Sir > definition
30
May
Examples(2)

(8) What is the least number which is divisible by  2, 5, 6  and  9  and  at the same time a perfect square ?

Soln. [ 2, 5, 6, 9 ]  =  LCM  of  2, 5, 6 and 9  =  2 \times

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30
May
Examples

(1) What is the value of  \left (\frac{243}{32} \right )^{\frac{-4}{5}} ?

Soln. …

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30
May
Types of Surds

■ Pure  Surd  :   A surd which consists wholly of  an irrational number is called a pure surd.

e.g. \sqrt{6} ,

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30
May
Arithmetical  Progression (A.P.)

■Arithmetical  Progression (A.P.)  :   If  each term of  a progression differs from its preceding term by a constant, then such a progression is called an arithmetical progression. This constant difference is known as common differen…

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30
May
Surd

Surds  : We know that \sqrt{2} ,\sqrt{3} ,

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30
May
Surds & Indices

Indices  :   we know that  2 \times 2  =  22,  2 \times 2

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29
May
Examples

(1) Evaluate :  (i)    \sqrt{45}\times\sqrt{20}       (ii)  . 

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29
May
Cube Root

Cube Root   :   The cube root of  a given number  x  is the number whose cube is  x. We denote the cube root of  x  by \sqrt[3]{x}

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29
May
Square Root

Square Root : The square root of  a given number is that number whose square is equal to the given number.

If   x2 = y,  we say that square root of  ‘y’ is  ‘x’ and  we write,

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29
May
Square, Square Roots & Cube Roots

☼ Square of  a number : If a number is multiplied by itself the product so obtained is called the square of  that number.

 e.g. Square of  9  =  9 \times

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