Question
Download Solution PDFIf \(5\sqrt3+\sqrt{243}=24.249\), then what will be the value of \(\sqrt{192}+15\sqrt 3\) ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
5√3 + √243 = 24.249
We need to find the value of: √192 + 15√3
Formula used:
Simplify square roots and use basic arithmetic.
Calculation:
√243 = √(81×3) = 9√3
Given: 5√3 + 9√3 = 24.249
⇒ 14√3 = 24.249
⇒ √3 = 24.249 / 14
⇒ √3 = 1.732
Next, simplify √192:
√192 = √(64×3) = 8√3
So, √192 + 15√3 = 8√3 + 15√3
⇒ 23√3 = 23 × 1.732
⇒ 23√3 = 39.836
⇒ Round off to two decimal places = 39.84
∴ The correct answer is 39.84 (option 4).
Last updated on Jun 11, 2025
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