Question

1. 2√18 + √32 - 4√8
2. 5√20 + √80 - 2√45
3. 4√18 : 3√12
4. 2√12 x √18

Answer 1

Verified answer

1.
2√18 + √32 - 4√8
=2√9×2 + √16×2 - 4√4×2
=2×3√2 + 4√2 - 4×2√2
=6√2 + 4√2 - 8√2
=2√2

2.
5√20 + √80 - 2√45
=5√4×5 + √16×5 - 2√9×5
=5×2√5 + 4√5 - 2×3√5
=10√5 + 4√5 - 6√5
=8√5

3.
4√18 : 3√12
=4√9×2 : 3√4×3
=4×3√2 : 3×2√3
=12√2 : 6√3
=12√2 / 6√3
=2√2 / √3
=2√2 / √3 × √3 / √3 (dirasionalkan)
=2√6 /√9
=2√6 / 3
=2/3√6

4.
2√12 × √18
=2√4×3 × √9×2
=2×2√3 × 3√2
=4√3 × 3√2
=12√6

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