Question

Simplify ( 8+√5)(8-√5).

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

(8 + √5)(8 - √5) = 59

Given :

The expression (8 + √5)(8 - √5)

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(8 + √5)(8 - √5)

Step 2 of 2 :

Simplify the given expression

We use the formula a² - b² = ( a + b ) ( a - b )

Thus we get ,

$\displaystyle \sf{ (8 + \sqrt{5})(8 - \sqrt{5} ) }$

$\displaystyle \sf{ = {(8)}^{2} - {( \sqrt{5}) }^{2} }$

$\displaystyle \sf{ = 64 - 5 }$

$\displaystyle \sf{ = 59 }$

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