Answer:
10ab²c √(2bc)
Step-by-step explanation:
Here in this question we have to simplify the following expression:
[tex]\sqrt{200a^{2}b^{5} c^{3} }[/tex].
We can separate each of the terms and square root each term individually.
Now, √200=√(2×4×5×5) =2×5√2 =10√2
Now, √(a²) = a.
And, √(b⁵) =√(b×b×b×b×b) =b²√b
And again, √(c³) = √(c×c×c) = c√c
Therefor, √(200a²b⁵c³) =( 10√2 )×( a )×( b²√b )×( c√c ) = 10ab²c √(2bc) (Answer)
