Find the cube root of 389017 by estimation method
please answer fast along with steps
Answers
Answer:
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FOUND!FOUND!
I AM SHIVANI OF CLASS 10 B THIS IS TO IS TO INFORM THAT I FOUND A WATCH IN THE PLAYGROUND NEAR A TAMARIND TREE. IT'S OF PINK COLOUR AND IT'S A GIRL WEARING WATCH. I AM HANDING IT OVER TO OUR P.T.SIR WHO EVER IS THE OWNER MAY COLLECT IT FROM SIR.
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CLASS 10 B
Answer:
Step-by-step explanation:
Okay, divide the number in groups of three digits right to left: 389 and 017. There are two groups, so the answer (or its integer part) is two digits.
First group is 343≤389<512 , so the first digit in the answer is 7.
Conjecture: it is a perfect cube. If it is a perfect cube the rightmost digit in the answer shall be 3 (so its cube ends 7) So let's check if 73 is the answer.
73×73=4900+420+9=5329 .
5329×70=350000+21000+1400+630=373030 .
5329×3=15000+900+60+27=15987 .
And those two numbers do add up to 389017 .
So that is the answer