The greatest common factor of the two numbers is 15, and the least common multiple is 90. These two numbers are () A. 15 and 90B. 30 and 60C. 45 and 90

The greatest common factor of the two numbers is 15, and the least common multiple is 90. These two numbers are () A. 15 and 90B. 30 and 60C. 45 and 90


Because 90 △ 15 = 6, 6 can be decomposed into two coprime numbers in two cases, i.e. 2 and 3, 1 and 6. So these two numbers have several cases: 15 × 1 = 15, 15 × 6 = 902 × 15 = 30, 3 × 15 = 45. A: these two numbers are 15 and 90 or 30 and 45



The product of two numbers is 6912, and the greatest common factor is 24. Find: (1) their least common multiple; (2) which groups of natural numbers satisfy known conditions?


1, least common multiple = 6912 △ 24 = 288
2,288=24×2×2×3
There are two
24 and 288
96 and 72



Calculate root (8-2 times root 11) times root (8 + 2 times root 11)


(8-2 times the root 11) times the root (8 + 2 times the root 11)
=8 ^ 2 - (double root 11) ^ 2
=64-44
=20



11 times root 3 = root 33 or 11 times root 3?
How can the 11 / 3 numerator denominator under the root sign be reduced to 33 / 3 when multiplied by the root sign 3 at the same time?


11 times the root 3 is 11 times the root 3
=Root (11 * 11 * 3) = root 363