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Which choices are equivalent to the expression below? Check all that apply 4√3

Which Choices Are Equivalent To The Expression Below Check All That Apply 43 class=

Sagot :

Answer:

answer is E

Step-by-step explanation:

4 x 12 i= 48

square root of 4=2

12= 4x3

square root of 4 again = 2

2x2 =4

so left with 4 square root 3

MrRoyal

The equivalent expressions are (a) [tex]4\sqrt 3 = \sqrt{24} \cdot \sqrt{2}[/tex],  (d) [tex]4\sqrt 3 = \sqrt{12} \cdot \sqrt{4}[/tex] and (e) [tex]4\sqrt 3 = \sqrt{48}[/tex]

Equivalent expressions

Equivalent expressions are expressions that have equal values

The expression is given as:

[tex]4\sqrt 3[/tex]

Express 4 as the square root of 16

[tex]4\sqrt 3 = \sqrt{16} \times \sqrt 3[/tex]

Combine the roots

[tex]4\sqrt 3 = \sqrt{16\times 3}[/tex]

[tex]4\sqrt 3 = \sqrt{48}[/tex]

Express 48 as the product of 12 and 4

[tex]4\sqrt 3 = \sqrt{12 \cdot 4}[/tex]

Split, into factors

[tex]4\sqrt 3 = \sqrt{12} \cdot \sqrt{4}[/tex]

Express 48 as the product of 24 and 2 in [tex]4\sqrt 3 = \sqrt{48}[/tex]

[tex]4\sqrt 3 = \sqrt{24 \cdot 2}[/tex]

Split

[tex]4\sqrt 3 = \sqrt{24} \cdot \sqrt{2}[/tex]

Hence, the equivalent expressions are (a), (d) and (e)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

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