Math, asked by rehaanahmed7, 10 hours ago

help me solve this please​

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Answers

Answered by ITZMAHIIIX
4

Answer:

  1. 15
  2. 21
  3. 35
  4. 54
  5. 93
  6. 115
  7. 129
  8. 189
  9. 497
  10. 682
  11. 862
  12. 976
  13. 1763

HOPE IT HELPS YOU♥️♥️

Answered by RvChaudharY50
0
  • Final result is equal to 5√2 .

To Find :- from image we have to find End result .

Solution :-

→ Start = √5

Step 1) :-

→ √5 × 3 = 3√5 ----- Equation (1)

Step 2) :-

→ Equation (1) + 2√5

→ 3√5 + 2√5

→ 5√5 ------- Equation (2)

Step 3) :-

→ Equation (2) × 4√3

→ 5√5 × 4√3

→ (5 × 4) × (√5 × √3)

using √a × √b = √(ab)

→ 20√15 ------- Equation (3)

Step 4) :-

→ Equation (3) ÷ 10√5

→ 20√15 ÷ 10√5

→ (20 ÷ 10) × (√15 ÷ √5)

using √a ÷ √b = √(a ÷ b)

→ 2√3 ------- Equation (4)

Step 5) :-

→ Equation (4) - 6√3

→ 2√3 - 6√3

taking √3 common,

→ √3(2 - 6)

→ √3 × (-4)

→ (-4√3) ------- Equation (5)

Step 6) :-

→ Equation (5) × √7

→ (-4√3) × √7

→ (-4) × (√3 × √7)

using √a × √b = √(ab)

→ (-4) × √21

→ (-4√21) ------- Equation (6)

Step 7) :-

→ Equation (6) + 10√21

→ (-4√21) + 10√21

taking √21 common,

→ √21(-4 + 10)

→ √21 × 6

→ 6√21 ------- Equation (7)

Step 8) :-

→ Equation (7) ÷ 3√3

→ 6√21 ÷ 3√3

→ (6 ÷ 3) × (√21 ÷ √3)

using √a ÷ √b = √(a ÷ b)

→ 2√7 ------- Equation (8)

Step 9) :-

→ Equation (8) - 5√7

→ 2√7 - 5√7

taking √7 common,

→ √7(2 - 5)

→ √7 × (-3)

→ (-3√7) ------- Equation (9)

Step 10) :-

→ Equation (9) × √8

→ (-3√7) × √8

→ (-3) × (√7 × √8)

using √a × √b = √(ab)

→ (-3) × √56

→ (-3√56) ------- Equation (10)

Step 11) :-

→ Equation (10) + 21√14

→ (-3√56) + 21√14

→ {(-3) × √(14 × 4)} + 21√14

→ {(-3) × √(14 × 2 × 2)} + 21√14

→ {(-3) × √(14 × 2²)} + 21√14

using √(a²) = a ,

→ {(-3) × 2√14)} + 21√14

→ [{(-3) × 2} × √14] + 21√14

→ (-6√14) + 21√14

taking √14 common,

→ √14(-6 + 21)

→ √14 × 15

→ 15√14 ------- Equation (11)

Step 12) :-

→ Equation (11) ÷ 3√7

→ 15√14 ÷ 3√7

→ (15 ÷ 3) × (√14 ÷ √7)

using √a ÷ √b = √(a ÷ b),

→ 5 × √2

52 = End .

Hence, 5√2 comes in the end box .

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