2 Answers

Traskjd · Answer 1 · 2021-01-10T00:52:20+0000

1. √7 × √7 = √[7×7] = √[7²] = 7

2. √18 × √2 = √[18×2] = √36 = √[6²] = 6

3. √45 = √[9×5] = √9 × √5 = √[3²] × √5 = 3√5

4.
$(√(50))/(5)=(√(25\cdot2))/(5)=(√(25)\cdot\sqrt2)/(5)=(5\cdot\sqrt2)/(5)=\bold{\sqrt2}$

5. 2√2 × 4√5 = (2×4) × (√2×√5) = 8×√[2×5] = 8√10

6. √48 - √12 = √[16×3] - √[4×3] = √16×√3 - √4×√3 = 4√3 - 2√3 = 2√3

7. (2 - √3)(1 + √3) = 2×1 + 2×√3 + (-√3)×1 + (-√3)×√3 =

= 2 + 2√3 - √3 - √[3×3] = 2 + √3 - 3 = √3 - 1

Iampat · Answer 2 · 2021-01-11T06:20:24+0000

1. 7
2. 6
3. 3 radical 5
4. 5 radical 2
5. 8 radical 10
6. 2 radical 3
7. -1 + sqrt 3
not completely sure if they’re all correct

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