Question

(10+√5)+(10-√5) =?????????????? ​

Answer 1

Answer:

105

Step-by-step explanation:

By using the property (a+b) (a-b) = a2 - b2

Answer 2

• How to solve?

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Let's see some steps!

• Write the given terms.
• Open all the brackets.
• Arrange the like terms like (10,10) and (√5,-√5) with in an order.
• As you can see one √5 is positive and another one is negative,so they will cancel each other.
• Add the remaining terms and you will get the answer.

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Solution :-

$:\implies \sf \:(10 - \sqrt{5} ) + (10 + \sqrt{5} )$

$:\implies \sf \: 10- \sqrt{5} + 10 + \sqrt{5}$

$:\implies \sf \:10 + 10 + \sqrt{5} - \sqrt{5}$

$:\implies \sf \:10 + 10 + \cancel{\sqrt{5} } - \cancel{ \sqrt{5} }$

$:\implies \sf \:10 + 10$

$:\implies \sf \:20$

• Hence,(10 - √5) + (10 + √5) = 20

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