Simplify the following expression 3-33-3

Given (3+√(3))(3 √(3))We know that (a+b)(a b)=𝑎^2 𝑏^2Consider (3+√(3))(3 √(3))Where a=3, b=√(3) =(3)^2 (√(3))^20ex0ex=9 30ex0ex=6Hence, (3+√(3))(3 ...

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Byju's Answer

Standard VI

Mathematics

Equivalent Fractions

Simplify the ...

Question

Simplify the following expression $(3 + \sqrt{3}) (3 - \sqrt{3})$

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Solution

Given $(3 + \sqrt{3}) (3 - \sqrt{3})$
We know that $(a + b) (a - b) = a^{2} - b^{2}$
Consider $(3 + \sqrt{3}) (3 - \sqrt{3})$
Where $a = 3, b = \sqrt{3}$
$= {(3)}^{2} - {(\sqrt{3})}^{2} = 9 - 3 = 6$
Hence, $(3 + \sqrt{3}) (3 - \sqrt{3})$ is $6$

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Simplify the following expression 3+33-3

Given 3+33-3We know that (a+b)(a-b)=a2-b2Consider 3+33-3Where a=3,b=3 =32-32=9-3=6Hence, 3+33-3 is 6

Simplify the following expression $(3 + \sqrt{3}) (3 - \sqrt{3})$

Given $(3 + \sqrt{3}) (3 - \sqrt{3})$
We know that $(a + b) (a - b) = a^{2} - b^{2}$
Consider $(3 + \sqrt{3}) (3 - \sqrt{3})$
Where $a = 3, b = \sqrt{3}$
$= {(3)}^{2} - {(\sqrt{3})}^{2} = 9 - 3 = 6$
Hence, $(3 + \sqrt{3}) (3 - \sqrt{3})$ is $6$