Find the value of z and
simplify completely.
4
16
х
Z=
= [? ]V[]

Question

03-02-2021
Mathematics

Answered

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Find the value of z and
simplify completely.
4
16
х
Z=
= [? ]V[]

Sagot :

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Hrishii Hrishii · Answer 1 · 2021-02-04T04:55:59-05:00

Hrishii Hrishii

04-02-2021

Answer:

[tex] 4 \sqrt{5} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex]y = \sqrt{16 \times 4} \\ \\ y = \sqrt{64} \\ \\ y = 8 \\ \\ by \: pythagoras \: theorem: \\ \\ {z}^{2} = {y}^{2} + {4}^{2} \\ \\ {z}^{2} = {8}^{2} + {4}^{2} \\ \\ {z}^{2} = 64 + 16 \\ \\ {z}^{2} = 80 \\ \\ z = \sqrt{80} \\ \\ z = \sqrt{16 \times 5} \\ \\ z = 4 \sqrt{5} [/tex]

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