How do you solve $sqrt(n-5)=2sqrt3$ and check your solution?

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Answer 1 · 2017-11-06T05:38:16

$n=17$

If you square both sides you will get rid of the square roots and from there it is plain sailing.

$sqrt(n-5)^2 = (2sqrt3)^2$

$n-5 = 4xx3$

$n-5=12$

$n =12+5=17$

To check the solution, substitute the value for $n$ into the original equation.

Is $sqrt(n-5) = 2sqrt3$ ?

$sqrt(17-5)$

$=sqrt12$

$=sqrt(4xx3)$

$=2sqrt3" "$ this checks out and the solution is correct.

How do you solve sqrt(n-5)=2sqrt3sqrt(n-5)=2sqrt3 and check your solution?