Find the smallest number by which 1375 must be divided so that the quotient is a perfect cube
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Only non-perfect cube in previous question was = 243 Show
(a) Multiplied so that the product is a perfect cube. Firstly let us find the prime factors of 243 243 = 3 × 3 × 3 × 3 × 3 = 33 × 32 Hence, to make it a perfect cube we should multiply it by 3. (b) Divided so that the quotient is a perfect cube. Firstly let us find the prime factors of 243 243 = 3 × 3 × 3 × 3 × 3 = 33 × 32 Hence, to make it a perfect cube we have to divide it by 9. Find the smallest number by which 10368 be divided so that the result is a perfect square. Also find the square root of the resulting number.Nội dung chính Nội dung chính
Answer VerifiedHint: In this problem, we have to find the smallest number by which 10368 be divided so that the result is a perfect square. Also find the square root of the resulting number. We can first find the smallest number, which is divided to 10368 to give the resulting perfect square. We can then find the square root of the resulting perfect square. Complete step by step solution: Note: Students make mistakes while finding the value of the smallest number by which the given number when divided, gives a perfect square, here we can use the LCM method to find the smallest number in an easier manner. We can take LCM to find the square root of the perfect square number.
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What is the smallest number by which 1323 may be multipled the product is a perfect cube so that?Hence, the smallest number by which 1323 must be multiplied to obtain a perfect cube is 7.
Is 13720 a perfect cube?25 is the smallest number by which 13720 must be multiplied to obtain a perfect cube. i.e. 13720×25 = 343,000 is a perfect cube.
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