describe the principal root of 64−−√ and tell whether it is rational or irration...

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September 2022 1 1 Report

describe the principal root of 64−−√ and tell whether it is rational or irrational?
2. Describe the principal root of 12−−√ and tell whether it is rational or irrational.

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luna3473

Answer:

1)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{64}$

$\: \: \: \: \: \: \: \: \: \: principal \: root \: is \: 8$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\boxed{rational}}$

2)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{12}$

$\: \: \: the \: principal \: roots \: is \: 2 \sqrt{3}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\boxed{irrational}}$

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Answers & Comments

1)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\boxed{rational}}$

2)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\boxed{irrational}}$

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