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Anastaziya [24]
3 years ago
14

Combine the following expressions.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

second option

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{27x^{3} }

= \sqrt{9(3)x^2.x}

= \sqrt{9} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 3 × \sqrt{3} × x × \sqrt{x}

= 3x\sqrt{3x}

-------------------------------

\sqrt{12x^{3} }

= \sqrt{4(3)x^2.x}

= \sqrt{4} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 2 × \sqrt{3} × x × \sqrt{x}

= 2x\sqrt{3x}

---------------------------------------

Thus

3 × 3x\sqrt{3x} - 2 × 2x\sqrt{3x}

= 9x\sqrt{3x} - 4x\sqrt{3x}

= 5x\sqrt{3x}

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