Hello frndz,
Sorry, I was bit busy from last two days so was unable to take session... Today we will learn about Powers and Roots of Numbers.
:- When we multiplied a number k, n times then it looks like this: k*k*k*k*......n times
Lets pick a value of n i.e. 2 then k*k = k^2
Same as k*k*k*....n times can be expressed as k^n (called it 'nth power of k')
:- Tips: Squaring a number greater than 1 results in larger number. for eg.
2^3 = 2*2*2 = 8
and 8 >2
Squaring a number between 0 and 1 results in smaller number. for eg.
(1/2)^3 = (1/2)*(1/2)*(1/2) = 1/8
and 1/8 < 1/2
:- Square root of a number greater than 1 results in smaller number. for eg.
(4)^1/2 = 2
and 2 < 4
Square root of a number between 0 and 1 results in larger number. for eg.
(1/4)^1/2 = 1/2
and 1/2 > 1/4
:- The square root of a negative number is not a real number; known as imaginary number.
For eg. (-4)^1/2 = Imaginary number.
:- The square root of every positive number has two results; one is positive and one is negative.
For eg. Square root of 9 = 3 and -3
:- Like Square root, Squaring a number of 1/3 known as cube root.
Okie guys, keep practice on!!! will be back soon....
Er. Ankur Garg
garg.ankur6@gmail.com
Sorry, I was bit busy from last two days so was unable to take session... Today we will learn about Powers and Roots of Numbers.
:- When we multiplied a number k, n times then it looks like this: k*k*k*k*......n times
Lets pick a value of n i.e. 2 then k*k = k^2
Same as k*k*k*....n times can be expressed as k^n (called it 'nth power of k')
:- Tips: Squaring a number greater than 1 results in larger number. for eg.
2^3 = 2*2*2 = 8
and 8 >2
Squaring a number between 0 and 1 results in smaller number. for eg.
(1/2)^3 = (1/2)*(1/2)*(1/2) = 1/8
and 1/8 < 1/2
:- Square root of a number greater than 1 results in smaller number. for eg.
(4)^1/2 = 2
and 2 < 4
Square root of a number between 0 and 1 results in larger number. for eg.
(1/4)^1/2 = 1/2
and 1/2 > 1/4
:- The square root of a negative number is not a real number; known as imaginary number.
For eg. (-4)^1/2 = Imaginary number.
:- The square root of every positive number has two results; one is positive and one is negative.
For eg. Square root of 9 = 3 and -3
:- Like Square root, Squaring a number of 1/3 known as cube root.
Okie guys, keep practice on!!! will be back soon....
Er. Ankur Garg
garg.ankur6@gmail.com
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