Question

54872,Find the cube root of the given number through estimation.

Answer 1

"The cube of 40 is 64000 and cube of 30 is 27000.

So, the cube root of 54872 must lie between, 30 and 40.

Since, the last digit of 54872, is 2, according to the rules of cube and cube roots, the number should end in 8. And, the number between 30 and 40 is 38.

Therefore, the cube root of the given number 54872, is 38."

Answer 2

Hi ,

Solution :

54872 is an even number so it's

cube root has to an even number.

Step 1 :

Make two groups from right to left

first group = ( 872 )

second group = ( 54 )

Step 2 :

First group unit digit is 2 so unit digit

of cube root will be 8 .

Step 3 :

second group number 54 lies between

( 3³ = 27 ) and ( 4³ = 64 ).

So , take smaller number 3 as ten's place.

Therefore ,


cube root of 54872 = 38

I hope this helps you.

: )