Question
Download Solution PDFSolve:
\((\sqrt{12.96} \div \sqrt {3.24} \times \sqrt{29.16} \div \sqrt{3.24}) + (\sqrt{12.96} \div \sqrt{3.24} \times \sqrt{ 12.96} \div \sqrt{3.24}) = ?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Expression to solve: (√12.96 ÷ √3.24 × √29.16 ÷ √3.24) + (√12.96 ÷ √3.24 × √12.96 ÷ √3.24)
Formula Used:
For square roots: √a × √b = √(a × b)
For division: √a ÷ √b = √(a ÷ b)
Calculation:
First, calculate the square root of each number:
⇒ √12.96 = 3.6
⇒ √3.24 = 1.8
⇒ √29.16 = 5.4
Now, substitute these values into the expression:
(√12.96 ÷ √3.24 × √29.16 ÷ √3.24) + (√12.96 ÷ √3.24 × √12.96 ÷ √3.24)
⇒ (3.6 ÷ 1.8 × 5.4 ÷ 1.8) + (3.6 ÷ 1.8 × 3.6 ÷ 1.8)
⇒ (2 × 5.4 ÷ 1.8) + (2 × 3.6 ÷ 1.8)
⇒ (2 × 3) + (2 × 2)
⇒ 6 + 4 = 10
The value of the expression is 10.
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