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How do you simplify #(6+sqrt 7)(6-sqrt 7)#?

Answer 1

Julia Adams

#=color(blue)(29#

#(6+sqrt7)(6-sqrt7)#

The above expression is of the form #color(blue)((a+b)(a-b) = a^2 - b^2#

#color(blue)(a=6, b=sqrt7#

So, #(6+sqrt7)(6-sqrt7) = color(blue)(6^2 - (sqrt7)^2#

#=36-7#

#=29#

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Answer 2

Eli Assouline

To simplify (6+sqrt 7)(6-sqrt 7), you can use the difference of squares formula. The formula states that (a+b)(a-b) is equal to a^2 - b^2. Applying this formula, we get:

(6+sqrt 7)(6-sqrt 7) = 6^2 - (sqrt 7)^2 = 36 - 7 = 29

Therefore, the simplified form of (6+sqrt 7)(6-sqrt 7) is 29.

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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.