Simplify the Following Expressions: (4 + Sqrt7)(3 + Sqrt2) - Mathematics

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Simplify the following expressions:

`(4 + sqrt7)(3 + sqrt2)`

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Solution

We can simplify the expression `(4 + sqrt7)(3 + sqrt2)` as

`(4 + sqrt7)(3 + sqrt2) = 4 xx 3 + 4 xx sqrt2 + 3 xx   sqrt7 + sqrt7 xx sqrt2 `

`= 12 + 4sqrt2 + 3sqrt7 + sqrt(7xx2)`

`= 12 + 4sqrt2 + 3sqrt7 + sqrt14`

Hence the value of the expression is `12 + 4sqrt2 + 3sqrt7 + sqrt14`

Concept: Operations on Real Numbers
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.1 | Q 2.1 | Page 2

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