Question

Is it a real number or not? Give in integer form or round to two decimal places.

Answer 1

Step 1

Given;

`\sqrt[]{-64}`

Required; To determine if it is a real number or not and to give the number in integer form

Step 2

`\text{Note};\text{ }\sqrt[]{-1}=i`
`\sqrt[]{-64}=\sqrt[]{-1}*\sqrt[]{64}`
`\sqrt[]{-64}=\sqrt[]{64}i`
`\sqrt[]{-64}=8i`

Step 3

Conclude

it is not a real number because the square root of negative numbers does not exist among the set of }Real\text{ numbers.}$$