Solve the equation by extracting the square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places.

(x + 2)^{2} = 13

(small value) x= approx=

(larger value) x= approx=

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(x+2)^2=13

taking the squareroot on both sides give the two solutions below

(x+2)=+squareroot(13) (i)

(x+2)=-squareroot(13) (ii)

small value of x is found by solving (ii)

x+2=-squareroot(13)

x=-squareroot(13)-2, (approx=-5.61)

Large value of x is found by solving (i)

x+2=squareroot(13)

x=squareroot(13)-2, (approx=1.61)

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