Question

Simplify 3 + ✓-64 and express in the form a+ib.​

Answer 1

Step-by-step explanation:

3+

−64

=3+8i

Step-by-step explanation:

Given : Expression 3+\sqrt{-64}3+

−64

To find : Simplify and express in a form of a+iba+ib ?

Solution :

We know that,

\sqrt{-1}=i

−1

=i

So, expression 3+\sqrt{-64}3+

−64

can be written as

3+\sqrt{-64}=3+\sqrt{-8^2}3+

−64

=3+

−8

2

3+\sqrt{-64}=3+8i3+

−64

=3+8i

3+8i3+8i is in the form of a+iba+ib .

Where, a=3 and b=8

#Learn more

Simplify and express the result in the form (a+ib)

(1+2i)-1

Answer 2

$3 + \sqrt{ - 64} \\ 3 + \sqrt{ - 1 \times 64} \\ 3 + i8 \\ hence \: a = 3 \: and \: b = 8$