Simplify the following expression -i 4-73-2

Name: RDSHA - Grade 09 - Mathematics - Rationalisation - Q02_1
Uploaded: 2022-07-04T10:36:42+05:30
Description: Given : nbsp;(4+√(7))(3+√(2)) =4(3+√(2))+√(7)(3+√(2)) =12+4√(2)+3√(7)+√(14) nbsp; ...

Given : nbsp;(4+√(7))(3+√(2)) =4(3+√(2))+√(7)(3+√(2)) =12+4√(2)+3√(7)+√(14) nbsp; ...

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Byju's Answer

Standard VIII

Mathematics

Simplification of an Expression

Simplify the ...

Question

Simplify the following expression :

i) $(4 + \sqrt{7}) (3 + \sqrt{2})$

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Solution

Given : $(4 + \sqrt{7}) (3 + \sqrt{2})$

$= 4 (3 + \sqrt{2}) + \sqrt{7} (3 + \sqrt{2})$

$= 12 + 4 \sqrt{2} + 3 \sqrt{7} + \sqrt{14}$

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Simplification of an Expression

Standard VIII Mathematics

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Simplify the following expression : i) (4+√7)(3+√2)

Given : (4+√7)(3+√2) =4(3+√2)+√7(3+√2) =12+4√2+3√7+√14

Simplify the following expression :

i) $(4 + \sqrt{7}) (3 + \sqrt{2})$

Given : $(4 + \sqrt{7}) (3 + \sqrt{2})$

$= 4 (3 + \sqrt{2}) + \sqrt{7} (3 + \sqrt{2})$

$= 12 + 4 \sqrt{2} + 3 \sqrt{7} + \sqrt{14}$