Question

How do you solve sqrt (m) + 7 = 5?

Answer 1

Using the non-primary root, it could be argued that `m=4`

Explanation:

`sqrt(m)+7=5`

`rArr sqrt(m) = -2`

Since the primary square root is positive
this has no Real solution using the primary root.

However if we allow secondary roots:
`color(white)("XXX")`square root of `m = +-sqrt(m)`
and
for `m=4`,
`color(white)("XXX")`one solution is
`color(white)("XXX")`square root of `m = -sqrt(4) = -2`

The most likely, expected answer is that the given equation has no valid solution (in `RR`)