Find the cube root of 15625 by estimation form. pls solve the simple method and solve with process ,
Answers
Answered by
231
We will make groups of three digits starting from the digit of the number 15625, as 15625.groups are 15 and 625.
Considering the group 625,
625 ends with 5. We know that if the digit 5 is at the end of a perfect cube numbe its cube root will have its unit place digit as 5 only. Therefore, the unit place digit of the required cube root can be taken as 5.
Taking the other group that is 15,
We know that, 2³=8 and 3³= 27
8 < 15 < 27
2 is smaller between 2 and 3. Therefore, 2 will be taken at the tens place of req. cube root.
Therefore; ³√15625 = 25
hope this will help.
Considering the group 625,
625 ends with 5. We know that if the digit 5 is at the end of a perfect cube numbe its cube root will have its unit place digit as 5 only. Therefore, the unit place digit of the required cube root can be taken as 5.
Taking the other group that is 15,
We know that, 2³=8 and 3³= 27
8 < 15 < 27
2 is smaller between 2 and 3. Therefore, 2 will be taken at the tens place of req. cube root.
Therefore; ³√15625 = 25
hope this will help.
julee8789054707:
Thanku so much
Answered by
81
Answer:
Step-by-step explanation:
15625 is a odd number so it's cube
root has to an odd number.
Step 1 : Make two groups from right
to left
First group = 625
Second group = 15
Step 2 :
First group 625 unit digit is 5 so unit
digit of cube root will be 5 .
Step 3 :
Second Group 15 it lies between ( 2³ = 8 )
and ( 3³ = 27 ) .
So take the smaller number 2 as ten's
place .
cube root 15625 = 25
I hope this helps you
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