Find the cube root of the74088using estimation
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Answer:
Finding cube root by estimation
- Make group of 3 digit, starting from right.
- The unit digit of cube root will be. Unit digit of cube root of 857375 = Unit digit of cube root of 375. Since 375 ends in 5, it's cube root will end in 5. (As 5 3 = 12 5 , 1 5 3 = 337 5 )
- Now, for second group. 8 5 7. We note that. 9 3 = 729. & 10 3 = 1000. So, 729 < 857 < 1000.
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Step-by-step explanation:
Find the cube root of -175616.
Solution :
We know that ∛-175616 = - ∛175616
The number is even so its cube root has to an even number.
Make two groups ---> 175616
First group 616 ---> unit digit is 6 so unit digit of cube root will be 6
(see the above table).
Second Group 175 -----> it lies between 5 3 =125 and 6 3 = 216 .
So take the smaller number 5 as ten's place.
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