How do you simplify #sqrt(b^4c^5)#?

Answer 1

#sqrt(b^4  c^5#  simplifies to   #b^2  c^2# #sqrtc#

Simplify   #sqrt(b^4 c^5#
  1. Factor into perfect squares as far as possible
#sqrt((b^2)^2  (c^2)^2 (c)#
  1. Find the square roots of the perfect squares, but leave the others inside
#b^2 c^2# #sqrt(c)# #larr# answer
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Answer 2

#b^2c^(5/2)#

Recall that #sqrt(x)=x^(1/2).#

Therefore,

#sqrt(b^4c^5)=(b^4c^5)^(1/2)#
Recall that #(xy)^z=x^zy^z#.

Therefore,

#(b^4c^5)^(1/2)=b^(4*1/2)*c^(5*1/2)=b^2c^(5/2)#
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Answer 3

To simplify sqrt(b^4c^5), you can break down the expression under the square root into its factors. Since b^4 is the square of b^2 and c^5 is the square of c^2 times c^3, the expression simplifies to b^2c^2 times sqrt(c^3). Therefore, sqrt(b^4c^5) simplifies to b^2c^2 times c^(3/2), which can be further simplified to b^2c^(7/2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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