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The solution of the equation (√x-8) + 2 = 7 is x = 13.
According to the given question.
We have an equation
Since, we solve the above equation for x .
Therefore,
⇒ (√x - 8) = 7 - 2
⇒ (√x - 8) = 5
Squarring both the sides.
⇒ x - 8 = 5
⇒ x = 5 + 8
⇒ x = 13
Hence, the solution of the equation (√x-8) + 2 = 7 is x = 13.
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First it would be helpful to remove the radicals found in the numerator and denominator. We can do this by the property .
This means that our fraction now becomes:
Now, we can subtract the exponents of because of the fact that the numerator and denominator both have a base of
:
Our answer is .