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प्रश्न
Find the product.
`(3sqrt(6) - 5sqrt(2))(4sqrt(6) - 3sqrt(2))`
बेरीज
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उत्तर
Let’s find the product:
`(3sqrt(6) - 5sqrt(2))(4sqrt(6) - 3sqrt(2))`
1. `3sqrt(6) xx 4sqrt(6)`
= 12 × 6
= 72
2. `3sqrt(6) xx (-3sqrt(2))`
= `-9sqrt(12)`
3. `-5sqrt(2) xx 4sqrt(6)`
= `-20sqrt(12)`
4. `-5sqrt(2) xx (-3sqrt(2))`
= 15 × 2
= 30
Now simplify:
-
`sqrt(12) = sqrt(4 xx 3) = 2sqrt(3)`
-
So:
-
`-9sqrt(12) = -18sqrt(3)`
-
`-20sqrt(12) = -40sqrt(3)`
-
Now combine:
`72 - 18sqrt(3) - 40sqrt(3) + 30`
= `(72 + 30) - 58sqrt(3)`
= `102 - 58sqrt(3)`
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