Question

What is the value of (3+√3)(3-√3)

Answer 1

Answer:

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Answer 2

Solution :

We've to find the value of :

$\mapsto \sf \: (3 + \sqrt{3} )(3 - \sqrt{3} )$

Here,This question can be solved by using the identity :

$\bigstar \: \boxed{ \sf ( a + b)(a - b) = {a}^{2} - {b}^{2} }$

Considering 3 as a and √3 as b

$\longrightarrow \sf \: (3 + \sqrt{3} )(3 - \sqrt{3} ) = ( {3})^{2} - { (\sqrt{3}) }^{2}$

$\longrightarrow \sf ( {3})^{2} - { (\sqrt{3}) }^{2}$

$\longrightarrow \sf( 3 \times 3) - (\sqrt{3} \times \sqrt{3} )$

$\longrightarrow \sf9 - 3$

$\longrightarrow \sf \large \boxed{ \purple{ \sf \: 6}}$

$\therefore$ Required answer = 6

Identities relating to square roots :

• (√a)² = a

• √a√b = √ab

• (√a + √b)(√a - √b) = a - b

• (a + √b)(a - √b) = a² - b

• (√a ± √b)² = a ± 2√ab + b

• (√a + √b) (√c + √d) = √ac + √ad + √bc + √bd