Question

What is the simplified form of the following expression? 10abc^2 sqrt 49a^2b^2c^2

Answer 1

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

Explanation:

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

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

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

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

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

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

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

Answer 2

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

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 

$10abc^2\sqrt{49a^2b^2c^2}$ 

$\sqrt{49a^2b^2c^2}=7abc$ 

$7\cdot \:10aabbc^2c$ 

$70aabbc^2c$ 

$70a^2bbc^2c$ 

$70a^2b^2c^2c$ 

$70a^2b^2c^3$