Question

Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number

Answer 1

Step-by-step explanation:

Let x be the required no.

Now we know that , x in not 0

so x>0

Also when we multiply x with 112 we get a square no.

Go through 112 tables and find a no. which is a cube as well as square no.

The number which is multiplied with 112 is the value of X .

Hope this helps

Answer 2

Step-by-step explanation:

Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number

• We need to find the prime factors of 112 by using prime factorization
• So the factors are 2 x 2 x 2 x 2 x 7
• Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square.
• So 112 x 7 = 784 = 2 x 2 x 7 = 28
• So √784 = 28
• Similarly 28 should be multiplied to 784 to make it a perfect cube.
• So 784 x 28 = 21,952

So cube root of 21,952 will be 28.

Reference link will be

https://brainly.in/question/4396403

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