Answer:
(
z
+
22
)(
z
−
22
)=35
Subtract both sides from 35
(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35(
z
+
22
(
z
−
22
)−35=35−35
Simplify:
(\sqrt{z})^{2} -57=0(
z
)
2
−57=0
Factor (\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})(
z
)
2
−57:(
z
+
57
)(
z
−
57
) =0
\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0
z
+
57
=0or
z
−
57
=0
\sqrt{z} +\sqrt{57} =0: No Solution for Z
z
+
57
=0:NoSolutionforZ
\sqrt{z} -\sqrt{57} =0: z=57
z
−
57
=0:z=57
Your answer will be z=57