Correct Answer - Option 1 : 1.2223
Concept used:
Follow BODMAS rule to solve this question, as per the order given below:
Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,
Step-2: Any mathematical 'Of' or 'Exponent' must be solved next,
Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,
Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.
formula (a + b)2 = a2 + 2ab + b2
Calculations:
⇒\(\frac{{3 + \;\frac{1}{{2 + \;\frac{1}{3}}}\; \times 7}}{{0.2}} \div 1.2 + 2\sqrt {99} = \;\sqrt a + \;\sqrt b + 5\)
⇒ \(\frac{{3 + \frac{3}{7}\; \times 7}}{{0.2}} \div 1.2 + 2\sqrt {99} = \;\sqrt a + \;\sqrt b + 5\)
⇒ 20 + \(2\sqrt {99} = \;\sqrt a + \;\sqrt b \)
(99 = 11 × 9 and 11 + 9) so we can write by above formula is:
\(\sqrt {11} + \;\sqrt 9 = \;\sqrt a + \;\sqrt b \)
hence a = 11 and b = 9
∴ a/b = 11/9 = 1.2223