Question

Find the smallest numbes by which the # following numbers should be multiplied so that the product is a perfect cube.

ɪғ ᴀɴʏʙᴏᴅʏ ᴡᴀɴɴᴀ ᴛᴀᴋᴇ ᴛʜɪs ɪᴅ ᴊᴜsᴛ ᴛᴇʟʟ ᴍᴇ ɪɴ ʙɪᴏ ɪ ᴡɪʟʟ ɢɪᴠᴇ ᴍʏ ᴘᴀss..☺️​

Answer 1

Step-by-step explanation:

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 3's is 6 and number of 7's is 2.

So we need to multiply another 7 to the factorization to make 35721 a perfect cube.

Hence, the smallest number by which 35721 must be multiplied to obtain a perfect cube is 7.

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Answer 2

Answer:

∴To make a perfect cube we need to multiply the product by 7.

∴To make a perfect cube we need to multiply the product by 5 × 5 = 25.