Find z (floor). Look at picture! Please?

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1 Answer
Apr 30, 2017

0.

Explanation:

z=(sqrt3^2-2*sqrt2^2)/(sqrt3-2*sqrt2)=(3-4)/(sqrt3-2sqrt2)

=-1/(sqrt3-2sqrt2)xx(sqrt3+2sqrt2)/(sqrt3+2sqrt2)

=-(sqrt3+2sqrt2)/{sqrt3^2-(2sqrt2)^2}

:. z=-(sqrt3+2sqrt2)/(3-8), or,

z=1/5(sqrt3+2sqrt2).

Taking, sqrt3=1.7321, and, sqrt2=1.4142, we have,

z=1/5{1.7321+2(1.4142)}=1/5(1.7321+2.8284)

:. z=1/5(4.5605)=0.9121.

:. floor z=0.