Question

Number System extra questions. PLs help help me find the answers.(Also People who don't know the answer and answer just for getting points will be reported)

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Answer 1

1. 2√2 + 5√3 + √2 - 3√3

= 3√2 + 2√3

2. 2√10 + √20 + √40 - 2√5

= 2√10 + √(4×5) + √(4×10) - 2√5

= 2√10 + 2√5 + 2√10 - 2√5

= 4√10

3. 5√8 + 2√32 - 2√2

= 5√(4×2) + 2√(16×2) - 2√2

= 10√2 + 8√2 - 2√2

= 16√2

4. √10 + √20 + √40 - √80

= √10 + √(4×5) + √(4×10) - √(16×5)

= √10 + 2√5 + 2√10 - 4√5

= 2√10 - 2√5

5. 12√18 + 6√20 - 6√147 + 3√50

= 12√(9×2) + 6√(4×5) - 6√(49×3) + 3√(25×2)

= 36√2 + 12√5 - 42√3 + 15√2

= 41√2 + 12√5 - 42√3

6. √48 + √32 - √27 - √18

= √(3×16) + √(2×16) - √(3×9) - √(2×9)

= 4√3 + 4√2 - 3√3 - 3√2

= √3 + √2