Please could someone advise me on solving this:

If √m +√n = √(7+√48) calculate to the nearest digit m^{2}+ n^{2 ? Thanks }(Worried)

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- August 19th 2012, 04:58 AMACMHelp with a surds problem?
Please could someone advise me on solving this:

If √m +√n = √(7+√48) calculate to the nearest digit m^{2}+ n^{2 ? Thanks }(Worried) - August 19th 2012, 08:10 AMACMRe: Help with a surds problem?
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 - August 19th 2012, 04:05 PMSorobanRe: Help with a surds problem?
Hello, ACM!

Quote:

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: .