Question

please someone should help me.....how do we solve the square root of x +8 plus the square root of x+1 equals 7.....note the question is a surd question​

Answer 1

The solution to the surd equation here is x = 449/49

How to solve for the value of the surd

$\sqrt{x+8} +\sqrt{x-1} = 7$

We have to isolate the surds

$\sqrt{x+8} =\sqrt{x-1} +7$

Square the both sides of the equation

x+8 = x-1+49-14√x-1

Separate the equations on the left and the right hand side

14√x-1 = -x-8+x-1+49

Rearrange the equation

14√x-1 = 40

square the both sides of the equation such that

196x  -1796 = 0

Divide through by 196

x = 1796/196

x = 449/49

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