Question

simplify (5+root 3) (5-root 3)​

Answer 1

Answer:

22

Step-by-step explanation:

using an identity:-  ( a + b ) ( a - b )  = a² - b²

$(5+\sqrt{3} )(5-\sqrt{3} )\\= 5^{2} - \sqrt{3}^{2}\\= 25 - 3\\= 22$

Answer 2

(5 + √3) (5 - √3) = 22

Given :

The expression (5 + √3) (5 - √3)

To find :

Simplify the expression

Identity Used :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (5 + √3) (5 - √3)

Step 2 of 2 :

Simplify the given expression

We are aware of the identity that

a² - b² = ( a + b ) ( a - b )

$\displaystyle \sf{ (5 + \sqrt{3} )(5 - \sqrt{3}) }$

$\displaystyle \sf{ = {(5)}^{2} - {( \sqrt{3}) }^{2} }$

$\displaystyle \sf{ = 25 - 3 }$

$\displaystyle \sf{ = 22 }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ the value of (√5+√2)²

https://brainly.in/question/3299659

2. Simplify ( 8+√5)(8-√5).

https://brainly.in/question/17061574