What is (5 -(sqrt)2) (3 + sqrt 2)?

Answer 1

#13+2sqrt2#

First we must expand the equation of #(5 -sqrt 2) (3 + sqrt 2)#. And we will get the equation be like;
#(5 -sqrt 2) (3 + sqrt 2)#
#=5(3)+5(sqrt2)-3(sqrt2)-sqrt2(sqrt2)#
Note that for #sqrt2(sqrt2)#, we can calculate it by;
#=sqrt2xxsqrt2= (2)^(1/2)xx(2)^(1/2)= 2^(1/2+1/2)= 2^1 =2#

And we will get;

#=15+5sqrt2-3sqrt2-2#
#5sqrt2# can subtract #3sqrt2# since it has the same base, which is #sqrt2#. Calculate all of it and we will get;
#=13+2sqrt2#
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Answer 2

(5 - √2) (3 + √2) = 15 + 5√2 - 3√2 - 2 = 13 + 2√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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