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Simplify this expression.

Simplify this expression.-example-1
User BlackDwarf
by
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2 Answers

10 votes

Answer:
√(10) + √(15) - √(14) -√(21)

Explanation:


(√(2) + √(3) ) (√(5) -√(7) )

Apply the distributive property by multiplying each term of
√(2) + √(3) by each term of
√(5) - √(7).


√(2) √(5) - √(2) √(7) + √(3) √(5) - √(3) √(7)

To multiply
√(2) and
√(5) multiply the numbers under the square root.


√(10) - √(2)√(7) + √(3) √(5) - √(3) √(7)

To multiply
√(2) and
√(7) multiply the numbers under the square root.


√(10) -√(14) + √(3) √(5) -√(3) √(7)

To multiply
√(3) and
√(5) multiply the numbers under the square root.


√(10) - √(14) + √(15) -√(3) √(7)

To multiply
√(3) and
√(7) multiply the numbers under the square root.


√(10) - √(14) + √(15) - √(21)

Hope it helps and have a great day! =D

User Vishnu Pedireddi
by
8.1k points
5 votes

Answer:


√(10) +√(15) -√(14) -√(21)

Explanation:

Let's first distribute the √2 :


√(2) (√(5) )-√(2)( √(7) )=√(10) -√(14)

Now we can distribute the √3 :


√(3) (√(5))- √(3) (√(7) )=√(15) -√(21)

Now we add these two together to get :


√(10) +√(15) -√(14) -√(21)

User Rob Agar
by
7.8k points

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