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= 2√2 - 2√5 + 3. 3 √5 - 6√2
= 2√2 - 2√5 + 9√5 - 6√2
= (2 - 6)√2 + (- 2 + 9)√5
= - 4√2 + 7√5
b) 6√72 - 6√8 + √20 - 3√45 = 36√2 - 12√2 + 2√5 - 9√5
= 24√2 - 7√5
c) √42 - 2√13 + √1024 + √32 = 2√13 - 2√13 + 32 + 4√2
= 32 + 4√2
d) √27 + 2√243 - √81 - √225 = 3√3 + 9√3 - 9 - 15
= 12√3 - 24
2) hpt² = (√5 + √3 - √2² + (√3 - √5 + √2)²
= [(√5)² + (√3)² + (-√2}² + 2.√5 .√3 + 2.√5 .(-√2) + 2 .√3 .(-√2) ] + [(√3)² + (- √5)² + (√2)² + 2.√3.(-√5) + 2 .√3 .√2 + 2 .(-√5) .√2 ]
= (5 + 3 + 2 + 2√15 - 2√10 - 2√6) + (3 + 5 + 2 - 2√15 + 2√6 - 2√10)
= 20 - 4.√10
hpt =
=