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Answer:
Q. 1) A Therefore, the cube root is the reverse method of evaluating a cube. Let 3√9261 = x, then 9261 = x3.
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Cube Root of 9261 By the Estimation Method.
2)B = The number 8000 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5. On combining the prime factors in groups of 3 gives 20. So, the cube root of 8000 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5) = 20 (perfect cube).
Q.2) Find the cube roots of the numbers 57066625 using the fact that
57066625=166375×343.
Q.3) A= The unit digit of 592 is 2. So, the unit digit of required cube root is 8. 4<1103<5The smallest number is 4. Therefore, the cube root of 110592 is 48.
B)= Take the other group of the number 59319 which is 59. Now, take the cube from number 2 onwards and then see the cubing of which number gives 59 or less than 59. 59 lies between 33 and 43 so 33 is a number which is less than 59 so the tens place value of the cube root of 59319 is 3. Hence, the cube root of 59319 is 39.
Answer:
step by step explanation:
1 (a) :- It is an image
(b) :- The number 8000 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5. On combining the prime factors in groups of 3 gives 20. So, the cube root of 8000 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5) = 20 (perfect cube).
2 :- It is an Image
3 (a) :- It is an Image
(b) :- It is an Image
