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Estimating critical value of a right-tailed hypothesis test

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For large numbers of degrees of freedom, the critical X^2 values can be approximated as follows:

X2 = 1/2(z+sqrt(2k-1))^2

where k is the number of degrees of freedom and z is the critical value. To find the lower critical value, the negative z-value is used, to find the upper critical value, the positive z-value is used. Use this approximation to estimate the critical value of a right-tailed hypothesis test with n=132 and alpha=0.01.
Round to the nearest three decimal places.

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