Thread: Help with a surds problem?

Please could someone advise me on solving this:

If √m +√n = √(7+√48) calculate to the nearest digit m² + n<sup>2 ?

Thanks</sup>

Please could someone advise me on solving this:

If m and n are rational numbers, √m +√n = √(7+√48) calculate to the nearest digit m2 + n2 ?

Thanks

Hello, ACM!

Whenever I see that an expression under a square root contains a square root,
. . I always wonder if that expression is a square.

Inside, we have: . . . . . which happens to be

The problem becomes: .

. . . . . . . . . . . . . . . . . .

Hence: . . or vice versa.

Therefore: .