Question

2root 3+3 whole divided by 2root 3-3

Answer 1

Answer:

7 + 2root 3 = 10.464

Step-by-step explanation:

Rationalise the denominator first:--

Multiply the whole fraction by 2root3 +3 both numerator nd denominator

2root3+3/2root3 -3 × 2root3 +3/2root3 +3

Then we will get 21 +6root3 /3

On further simplifying,

7 + 2root3

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Answer 2

2✓3+3 / 2✓3-3

= 2✓3+3 * 2✓3+3 / 2✓3-3 * 2✓3+3

= (2✓3+3)² / (2✓3)² - (3)²

using (a+b)² = a²+b²+2ab

and a²-b² = (a+b)(a-b)

= (2✓3)²+(3)²+2(2✓3)(3) / 12-9

= 12+9+12✓3 / 3

= 21+12✓3 / 3

= 3(7+4✓3) / 3

= 7+4✓3

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