Question
Simplify the expression
9+8i
Evaluate
9−8i145
Multiply by the Conjugate
(9−8i)(9+8i)145(9+8i)
Calculate
More Steps

Evaluate
145(9+8i)
Apply the distributive property
145×9+145×8i
Multiply the numbers
1305+145×8i
Multiply the numbers
1305+1160i
(9−8i)(9+8i)1305+1160i
Calculate
More Steps

Evaluate
(9−8i)(9+8i)
Use (a−b)(a+b)=a2−b2 to simplify the product
92−(8i)2
Evaluate the power
81−(8i)2
Evaluate the power
More Steps

Evaluate
(8i)2
Evaluate
82i2
Evaluate the power
64i2
Evaluate the power
−64
81−(−64)
Calculate
145
1451305+1160i
Rewrite the expression
145145(9+8i)
Solution
9+8i
Show Solution
