Question

Help with these radical/square root questions

Answer 1

We know that i² = -1

`\heartsuit`
`√(-28) = √(i^2*7*2^2) = 2i√(7)`

`\heartsuit`
`√(-63) = √(i^2*7*3^2) = 3i√(7)`

`Given\;that\;√(-28)\;is\;subtracted\;from\;√(-63)`

`\implies √(-63) - √(-28) = 3i√(7) - 2i√(7) = i√(7)`

Option (2) is the Answer