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Question
Find the product.
`(5 + 3sqrt(2))(5 - 3sqrt(2))`
Sum
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Solution
To find the product:
`(5 + 3sqrt(2))(5 - 3sqrt(2))`
Use the identity:
(a + b)(a – b) = a2 – b2
Here:
- `a = 5`
- `b = 3sqrt(2)`
Now compute:
`a^2 = 25`
`b^2 = (3sqrt(2))^2`
= 9 × 2
= 18
So, 25 – 18 = 7
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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]
