estimate the cube root of 500 and 4000

Asked by ajayrath7 | 21st Jul, 2017, 06:21: PM

Expert Answer:

begin mathsize 16px style left parenthesis straight i right parenthesis space 7 cubed equals 343 space and space 8 cubed equals 512
As space 500 space lies space between space 343 space and space 512 comma space its space cube space root space wil space lie space between space cube root of 343 space and space cube root of 512
that space is comma space between space 7 space and space 8.
Now space 500 minus 343 equals 157 space and space 512 minus 500 equals 12
As space 500 space is space nearer space to space 512 space approximately comma space the space value space of space cube root of 500 space is space 8.

left parenthesis ii right parenthesis space 15 cubed equals 3375 space and space 16 cubed equals 4096
As space 4000 space lies space between space 3375 space and space 4096 comma space its space cube space root space wil space lie space between space cube root of 3375 space and space cube root of 4096
that space is comma space between space 15 space and space 16.
Now space 4000 minus 3375 equals 625 space and space 4096 minus 4000 equals 96
So comma space the space approximate space value space of space cube root of 4000 space is space 16.
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Answered by Rebecca | 21st Jul, 2017, 09:53: PM