Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
[tex]\sqrt{x}+5=\sqrt{x+45}[/tex]
We need to find the value of x in the above equation:
[tex]\sqrt{x}+5=\sqrt{x+45}\\\\\text{ On squaring both sides , we get}\\\\(\sqrt{x}+5)^2=x+45\\\\x+5\sqrt{x}+25=x+45\\\\5\sqrt{x}+25=45\\\\5\sqrt{x}=45-25=20\\\\\sqrt{x}=\frac{20}{5}\\\\\sqrt{x}=4\\\\\text{ on squaring both sides}\\\\x=4^2=16[/tex]
Therefore, the value of x = 16
Hence, Option 'A' is correct.
