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How do you simplify #root(3)(375)#?

Answer 1

Levi Adams

#root(3)375=5root(3)3#

To simplify #root(3)375# let us first factorize #375#

#375=3xx5xx5xx5#

Hence #root(3)375#

= #root(3)(3xxul(5xx5xx5))#

= #5xxroot(3)3#

= #5root(3)3#

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Answer 2

Nova Allen

To simplify √(3)(375), you can first find the prime factorization of 375, then identify groups of three equal factors. After that, take one factor from each group and bring it out of the radical sign.

Prime factorization of 375: 375 = 3 × 5^3

√(3)(375) = √(3)(3 × 5^3)

= 5√(3)(3)

= 5 × 3^(3/2)

= 5 × 3√(3) × √(3)

= 5 × 3√(9)

= 5 × 3

= 15

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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.