Mathematics: Simplify: √27x^2y^2 A) 27xy B) 3xy C) 3xy√3 D) xy√27

Simplify: √27x^2y^2 A) 27xy B) 3xy C) 3xy√3 D) - id272227333210395055, crybaby222psyc

Ответ:

genyjoannerubiera

17.03.2022

Mathematics

$\sqrt{27x^2y^2}=3xy\:\sqrt{3}$

Hence, option C is correct.

Step-by-step explanation:

Given the expression

$\sqrt{27x^2y^2}$

simplifying the expression

$\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=\sqrt{27}x\sqrt{y^2}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=\sqrt{27}xy$

$=xy\sqrt{3^3}$

$=xy\sqrt{3^2\cdot \:\:3}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=3xy\:\sqrt{3}$

Therefore,

$\sqrt{27x^2y^2}=3xy\:\sqrt{3}$

Hence, option C is correct.

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Ответ:

gabriella1232002

24.03.2023

Mathematics

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Step-by-step explanation:

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Simplify:

√27x^2y^2

A) 27xy
B) 3xy
C) 3xy√3
D) xy√27

Ответ:

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