What is the simplified form of the following expression?

Ответ:

ronniethefun

13.03.2022

70a^2b^2c^3 will be the answer.

Explanation:

Since Given expression is $10abc^2\sqrt{49a^2b^2c^2}$

We can write, $10abc^2\sqrt{49a^2b^2c^2}= 10abc^2\sqrt{7^2a^2b^2c^2}$

$\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 10abc^2\sqrt{(7abc)^2}$

$\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 10abc^27abc$

$\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 10\times7abc^2abc$

$\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 70abc^2abc$

$\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 70a^2b^2c^3$

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