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  • 21-10-2019
  • Mathematics
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square root 200a2b5c3 simplified​

Respuesta :

rani01654 rani01654
  • 26-10-2019

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)

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