Table of Contents
Can 200 be a perfect cube?
Is 200 a Perfect Cube? The number 200 on prime factorization gives 2 × 2 × 2 × 5 × 5. Here, the prime factor 5 is not in the power of 3. Therefore the cube root of 200 is irrational, hence 200 is not a perfect cube.
Which is the smallest number with which 200 should be multiplied so that it becomes a perfect square 02/08 27 04?
So, the least number is 2, by which 200 must be multiplied so that the product becomes a perfect square. Answer.
What is the smallest number with which 200 should be multiplied to make it divisible by 12100?
Hence, the smallest number is 5.
What is the smallest perfect cube numbers between 100 and 200?
Hence we see that the cube of 5 is 125 which is the only number whose cube is in between two numbers 100 and 200.
Is 200a perfect square?
200 is not a perfect square, hence its square root is an irrational number.
IS 200 a perfect cube if not find the smallest natural number by which 200 must be multiplied so that the product is a perfect cube?
We need one more 5 to make it a perfect cube. So to make 200 a perfect cube multiply both sides by 5. Now 1000 is a perfect cube. ∴ The required number is 5….Solution.
| 2 | 200 |
|---|---|
| 5 | 25 |
| 5 | 5 |
| 1 |
What should be multiplied from 200 to get perfect square?
Let us find the prime factors of 200 using the method prime factorization. Step 3 : ‘2’ remains without a pair. Hence, 200 must be multiplied by 2 to make it a perfect square.
What adds up to 200 to make a perfect square?
Hence, 200 must be multiplied by 2 to make it a perfect square.
What is the smallest number by which 200?
5 is the smallest number which gives a perfect cube when multiplied by 200.
IS 200 a perfect cube if not find the smallest natural number by which 200 must be multiplied to obtain a perfect cube?
What is the smallest number that can be the perfect cube?
In order to find the perfect cube, the exponent of 5 must be 3. Thus we multiply 200 by 5. ∴ the required smallest number is 5. Still have questions? 3. What is the sum of all angles of a pentagon?
What is the smallest number that can be added to 200?
Nothing in the question requires the added number to be positive. Since a negative number can be a perfect cube (-1*-1*-1 = -1), there is no smallest number which when added to 200 yields a perfect cube. E.g., -208 + 200 = -8 = (-2)^3. For any N for which -N is a perfect cube, adding – (200 +N) to 200 yields -N which is a perfect cube.
Is 200 a perfect cube?
No, 200 is not a perfect cube; i.e. there is no integer M such that M³ = 200. Let N be the lowest natural number (positive integer) which is such that 200×N is a perfect cube. Then there exists a positive integer A such that A³ = 200×N, and given any positive integer G, such that G
What is the smallest number by which 200 is a perfect square?
Therefore the lowest positive integer by which 200 can be multiplied to give a product which is a perfect square is 5. 200×5 = 1000, which is equal to 10³. The answer is 5. , Ph.D. (I.I.T.Kanpur) Mathematics (1978) What is the smallest number by which 1944 must be multiplied so that the product is a perfect cube?