Expressed as the product of prime factors,

198 = 2 x 32 x 11 and 90 = 2 x 32 x 5.

Use these results to find

(a) the smallest integer, k, such that 198k is a perfect

square,

Question

Mathematics

Mister

6 November, 15:20

Expressed as the product of prime factors,

198 = 2 x 32 x 11 and 90 = 2 x 32 x 5.

Use these results to find

(a) the smallest integer, k, such that 198k is a perfect

square,

+1

Answers (1)

Know the Answer?

Cordell Forbes · Answer 1

22

Step-by-step explanation:

198 = 2*3*3*11

For a perfect square, factors have to occur in pairs

198*2*11 (because 3 is already twice)

198*2*11

198*22

198k = 198*22

k = 22

Expressed as the product of prime factors,198 = 2 x 32 x 11 and 90 = 2 x 32 x 5.Use these results to find(a) the smallest integer, k, such that 198k is a perfectsquare,

Expressed as the product of prime factors,

198 = 2 x 32 x 11 and 90 = 2 x 32 x 5.

Use these results to find

(a) the smallest integer, k, such that 198k is a perfect

square,