Question

Which of the sure is greater: 5√3 & 9

Answer 1

Answer:

9 > 5√3

Step-by-step explanation:

Let x = 5√3 and y = 9

i )x² = (5√3)²

=> x² = 75

ii ) y² = 9² = 81

y² > x²

=> y > x

=> 9 > 5√3

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Answer 2

9 is greater than 5√3.

Step-by-step explanation:

To find greater between 5√3 & 9

Assuming 5√3 to be x and 9 to be y.

5√3 = x

9 = y

Squaring both L.H.S. and R.H.S. of 5√3 = x

(5√3)² = x²

5 × √3 × √3 = x²

5 × 3 = x²

15 = x²

Squaring both L.H.S. and R.H.S. of 9 = y

9² = y²

9 × 9 = y²

81 = y²

15 < 81

x² < y²

x < y or 5√3 < 9

∴ 9 is greater than 5√3

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