What is the following sum?

3 b squared (RootIndex 3 StartRoot 54 a EndRoot) + 3 (RootIndex 3 StartRoot 2 a b Superscript 6 Baseline EndRoot)
A. 6 b squared (RootIndex 3 StartRoot 2 a EndRoot)
B. 12 b squared (RootIndex 3 StartRoot 2 a EndRoot
C. 6 b squared (RootIndex 6 StartRoot 2 a EndRoot)
D. 12 b squared (RootIndex 6 StartRoot 2 a EndRoot)

Respuesta :

Answer:

12b^2 (^3 square root 2a)

Step-by-step explanation:

The sum [tex]\rm 12b^2\sqrt[3]{2a}\\[/tex] written in the form of statement is given by 12 b squared (Root Index 6 Start Root 2 a End Root), the correct option is D.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is

[tex]\rm 3b^2 \sqrt[3]{54a}+3\sqrt[3]{2ab^6}[/tex]

[tex]\rm 3b^2 \sqrt[3]{2*3*3*3a}+3b^2\sqrt[3]{2a}\\[/tex]

[tex]\rm 3b^2( 3\sqrt[3]{2*a}+\sqrt[3]{2a})\\[/tex]

[tex]\rm 3b^2\sqrt[3]{2*a}*4}\\[/tex]

[tex]\rm 12b^2\sqrt[3]{2a}\\[/tex]

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