What is the smallest number by which 10584 may be multiplied so that the product is a perfect cube also find the cube root of the number obtained?
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Answer: Show
192 Step-by-step explanation: Prime factorisation of 10584 is 10584=23×32×72 Now for the above to be a perfect square we can see that we need to multiply 2×3=6 ∴ the least number to be multiplied to 10584 to make it a perfect square is 6 ∴10584×6=23×33×72×2×3=24×34×72 The square root of this new number is 24×34×72=22×32×7=4×9×7=63×4=192 Tag: A espada, a cruz e a fome iam dizimando a família selvagem analise a frase e marque o item correto Why do some car colors cost moreDid you know that white has been the number one car color since the ’90s? Due to its sleek and modern design, it’s maintained its popularity. However, how does car color affect ... What is media coverage for?Marketing & Communications Centre > Marketing Essentials > Help Sheets > Making Contact - Why Media is Important For many community groups and organisations, gaining positive and ... Como era a educação na Idade Média brainlyBrainly é uma empresa de tecnologia educacional localizada em Cracóvia, Polônia,[1] que gera um grupo de redes sociais de aprendizagem para estudantes e educadores. Está disponível em 13 ...
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What is the smallest number by which 3087 be multiplied so that product is a perfect square?Hence, the smallest number by which 3087 must be multiplied to obtain a perfect cube is 3.
Is 10584 a perfect cube?Step-by-step explanation:
When you extract factor of 10584= 2×2×2×3×3×3×7×7. So, in manner to make any number a perfect cube you will need a triplet of prime factors and here 7 is only two times. So, when we divide 10584 by 49. you will get a perfect cube.
What is the smallest number by which 1372 may be multiplied so that the product is a perfect cube?To find the smallest number by which 1372 must be multiplied so that the product is a perfect cube, you need to find the prime factors of the given number. From above, by multiplying 2 the number 1372 becomes the perfect cube. Therefore, the smallest number is 2.
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