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

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Answer 1 · 2017-04-30T19:14:00

#0.#

#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.#