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The simplified value of 3√2 − 4√3 + √6 is √3 + √6 √6 + √2 √3 + √2
-
- √2
- 1/√2
- √3 − √2
- 0
Correct Option: D
| √6 + √3 |
| = | |
| (√6 + √3)(√6 − √3) |
| = | |
| 6 − 3 |
= √2(√6 − √3)
= √12 − √6
= 2 √3 − √6
| √6 + √2 |
| = | |
| (√6 + √2)(√6 − √2) |
| = | |
| 6 − 2 |
= √3(√6 − √2)
= √18 − √6
= 3√2 − √6
| √3 + √2 |
| = | |
| (√3 + √2)(√3 − √2) |
| = | |
| 3 − 2 |
= 3√2 − 2√3
∴ Expression
= 2√3 − √6 − (3√2 − √6) + 3√2 − 2√3
= 2√3 − √6 − 3√2 + √6 + 3√2 − 2√3 = 0
