Question

Square root 200a2b5c3 simplified​

Answer 1

10ab²c √(2bc)

Explanation:

Here in this question we have to simplify the following expression:

`\sqrt{200a^(2)b^(5) c^(3)  }`.

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)