How do you simplify #sqrt6 (sqrt5 - sqrt7) #?

Answer 1

#sqrt30-sqrt42#

Recall that #sqrta(sqrtb)=sqrt(a*b)#. This allows us to simplify this expression as
#sqrt(6*5)-sqrt(6*7)#
#color(blue)(sqrt30)-color(red)(sqrt42)#
There are no perfect squares in #30# or #42#, so we can't simplify this any further.

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Answer 2

To simplify the expression sqrt6 (sqrt5 - sqrt7), we can use the distributive property of multiplication over addition/subtraction.

First, distribute sqrt6 to both terms inside the parentheses: sqrt6 * sqrt5 - sqrt6 * sqrt7

Next, simplify each term separately: sqrt(6 * 5) - sqrt(6 * 7) sqrt30 - sqrt42

Since there are no like terms to combine, the expression sqrt6 (sqrt5 - sqrt7) simplifies to sqrt30 - sqrt42.

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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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