Answer
False.
Work Step by Step
The given statement is
$(\sqrt x-7)^2=x-49$
Solve the left hand side term.
$=(\sqrt x-7)^2$
Use the special formula $(A-B)^2=A^2-2AB+B^2$.
We have $A=\sqrt x$ and $B=7$.
$=(\sqrt x)^2-2(\sqrt x)(7)+(7)^2$
Use product rule.
$=x^2-14\sqrt x+49$
Hence, the statement is false.
