Question

simplify (5+√5)(5-√5)

Answer 1

Hi friend!!!

Given, (5+√5)(5-√5)

we know that (a+b)(a-b)=a²-b²

here, in this case a=5 and b=√5

→(5)²-(√5)²

=25-5

=20

I hope this helps !!!

Answer 2

(5 + √5)(5 - √5) = 20

Given :

The expression (5 + √5)(5 - √5)

To find :

The value of the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(5 + √5)(5 - √5)

Step 2 of 2 :

Find the value of the expression

We use the formula

a² - b² = ( a + b ) ( a - b )

We take a = 5 & b = √5

Thus we get

The given expression

= (5 + √5)(5 - √5)

= (5)² - (√5)²

= 25 - 5

= 20

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