Question

simplify the answer with formula
$(3 + \sqrt{3} )(2 + \sqrt{2} )$
$(3 + \sqrt{3} )(3 - \sqrt{3} )$
$( \sqrt{5} + \sqrt{2} ) ^{2}$
$( \sqrt{5} - \sqrt{2} )( \sqrt{5} + \sqrt{2} )$

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Answer 1

Answer:

Solution :-

1) (3 + √3) (2 + √2)

➻ 3(2 + √2) + √3(2 + √2)

➻ 6 + 3√2 + 2√3 + √6

∴ The answer of this question is 6 + 3√2 + 2√3 + √6

2) (3 + √3) (3 - √3)

➻ 3(3 + √3) - √3(3 + √3)

➻ 9 + 3√3 - 3√3 - 3

➻ 9 - 3

➻ 6

∴ The answer of this question is 6

3) (√5 + √2)²

➻ (√5)² + 2 × √5 × √2 + (√2)²

➻ 5 + 2√10 + 2

➻ 5 + 2 + 2√10

➻ 7 + 2√10

➻ 2√10 + 7

∴ The answer of this question is 2√10 + 7

4) (√5 - √2) (√5 + √2)

➻ √5(√5 + √2) - √2(√5 + √2)

➻ 5 + √10 - √10 - 2

➻ 5 - 2

➻ 3

∴ The answer of this question is 3

Formula used :-

➠ (a + b)²

➻ a² + 2ab + b²