Question 2 i Simplify 3-32-2

Name: NCERT - Grade 09 - Mathematics - Number Systems - Q20_1
Uploaded: 2022-07-04T10:36:42+05:30
Description: (3+√(3))(2+√(2)) =3 × 2+3×√(2)+ √(3)× 2 + √(3)×√(2) = 6+ 3√(2)+2 nbsp;√(3)+√(6) ...

(3+√(3))(2+√(2)) =3 × 2+3×√(2)+ √(3)× 2 + √(3)×√(2) = 6+ 3√(2)+2 nbsp;√(3)+√(6) ...

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Standard IX

Mathematics

Multiplication of Surds

Question 2 i ...

Question

Question 2 (i)
Simplify $(3 + \sqrt{3}) (2 + \sqrt{2})$ .

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Solution

$(3 + \sqrt{3}) (2 + \sqrt{2})$
$= 3 \times 2 + 3 \times \sqrt{2} + \sqrt{3} \times 2 + \sqrt{3} \times \sqrt{2} = 6 + 3 \sqrt{2} + 2 \sqrt{3} + \sqrt{6}$

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Multiplication of Surds

Standard IX Mathematics

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Question 2 (i) Simplify (3+√3)(2+√2) .

(3+√3)(2+√2) =3×2+3×√2+√3×2+√3×√2=6+3√2+2√3+√6

Question 2 (i)
Simplify $(3 + \sqrt{3}) (2 + \sqrt{2})$ .

$(3 + \sqrt{3}) (2 + \sqrt{2})$
$= 3 \times 2 + 3 \times \sqrt{2} + \sqrt{3} \times 2 + \sqrt{3} \times \sqrt{2} = 6 + 3 \sqrt{2} + 2 \sqrt{3} + \sqrt{6}$