1800-150-456-789
FlagBACK
Flag Magical Mathematics[Interesting Approach]> cube roots...
question mark

quick methods to obtain cube root of a number

shamit bansal , 15 Years ago
Grade
anser 2 Answers
Priyansh Goel

Last Activity: 14 Years ago

cube root of a number p is given by p1/3,p1/3w,p1/3w2.

Anurag Kishore

Last Activity: 14 Years ago

One of the method you may use is differential approximation

f(x + $x) - f(x) = f/(x) . $x   --------------------------(1)

for eg

Find cube root of 126

Let x =125   and  $x = 1

Let   f(x) = x1/3

=>   f/(x) = 1/3 x-2/3

From (1)

f (126) - f(125) = 1/3 (125-2/3) . 1

=> 1261/3 - 1251/3 = 1/3 . 1/25

=> 1261/3 = 5 + 1/75 = 5.0133

You can check its truth by calculator

 

Note - You can use this method to find even hihger order roots or even values of tan 46 etc.

 

 

Thanks

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on magical mathematics[interesting approach]

question mark
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
for any two sets A and B (A-B)U(B-A)U (A intersection B)
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in30:70
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 3 Years ago