Question

simplify:(5+√3)(5-√3)​

Answer 1

$\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}⋆$$\mathfrak{\huge{\red{\underline{\underline{Answer :}}}}}$$22-is-the-answer$

=} (5+√3)(5-√3)

=} 5² - √3²

=} 25 - 3

=} 22

Answer 2

• The value of (5 + √3)(5 – √3) = 22.

Given :

• An equation, (5 + √3) (5 – √3).

Required :

• To simplify the given equation.

Solution :

Given equation,

$\mapsto (5 + \sqrt{3} )(5 - \sqrt{3} )$

By using identity,

$\mapsto (x + y)(x - y) = {x}^{2} - {y}^{2}$

Here,

We have,

• x = 5.
• y = √3.

Now, substitute the values of x and y in the identity.

$\mapsto (5 + \sqrt{3} )(5 - \sqrt{3} )$

$\mapsto {(5)}^{2} - {( \sqrt{3}) }^{2}$

We know that,

• Square root cuts the power.
• (5)² = 25.

$\mapsto 25 - 3$

$\mapsto 22$

Hence,

The value of (5 + √3) (5 – √3) is 22.