kfnldkl4765 kfnldkl4765
  • 22-10-2019
  • Mathematics
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Evaluate the products. a)√9.√4b)√9.√-4c)√-9.√4d)√-9.√-4

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lyndalau86
lyndalau86 lyndalau86
  • 22-10-2019

Answer:

a) 6

b) 6i

c) 6i

d) -6

Step-by-step explanation:

We are going to write down the numbers as a product of prime numbers and then proceed to solve:

Note: Remember that i = √-1 and that i²= -1

a) √9(√4)

√3² × √2² = 3 × 2 = 6

Thus, the answer is 6

b) √9 ×√-4

√3² x i√2² = 3 x 2i = 6i

Thus, the answer is 6i

c) √-9.√4

i√3² × √2² = 3i x 2 = 6i

Thus the answer is 6i

d) √-9.√-4

i√3² × i√2²

3i x 2i = -6

Thus the answer is -6

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