The M6 and then the M56.
M6
M56 is the closest motorway to Manchester Airport. Although the M6 is the main motorway closest to the airport.
There is no motorway, but the A14 is a busy road which Birmingham to Ipswich, which is not far from Norwich.
Birmingham
The M25 is an orbital motorway designed to re-direct traffic travelling from one side of London to the other. It is an extension, at a far greater radius, of the pre-existing North and South Circulars. Although it is much longer (117 miles) than other examples of orbital motorways in the UK, it isn't unique - Manchester, for example is encircled by the M60 as is Birmingham by the M5/M6/M42. The longest orbital motorway is the A10 around Berlin, at 124 miles.
The distance from Manchester to Birmingham is approximately 80 miles.
Manchester England is further north than Birmingham England.
The A1 motorway.
Best route from Birmingham, take the M6, M69, M1. Or M6, M42, A42, M1
The M5 motorway in England is approximately 163 miles long, stretching from Birmingham to Exeter.
Spaghetti Junction just north of Birmingham.
To get to Birmingham, you would typically take the M6 motorway, which is one of the main routes into the city. Depending on your starting point, you might also use the M1 or M40 motorways, which connect to the M6. The specific motorway you take may vary based on your location and traffic conditions.