Grade 9Algebra

Which expression is equal to real number? a) (-4i)^11. b) (4+5i) (4-5i) c) (2+3i)^2. d) (6+8i) (8+6i)

Akshith reddy

8 Years agoGrade 9

8 Years ago

(-4 i)¹¹ = 4¹¹ i¹¹ = -4¹¹ i = imaginary

(4+5i)(4-5i) = 4² - 5² i² = 16+25 = 41 = real number

(2+3i)² = -5 + 12i = complex number with imaginary part

(6+8i)(8+6i)= 48 - 48 + 100i = 100 i = imaginary

hence optuon 'b' is equal to real number.

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