Question

If √2 = 1.414 and √3 = 1.73 2

Find 2√50 + √108 + 6√75​

Answer 1

Answer:

☞︎︎︎76.492 is your answer

Step-by-step explanation:

✫To find:-

︎︎︎︎︎︎•2√50 + √108 + 6√75

✫Given:-

•√2 = 1.414

•√3 = 1.732

✫First find 2√50

$\tt \to2 \sqrt{50 } = 2 \sqrt{25 \times 2} \\ \tt \to2 \sqrt{50} = 2 \times 5 \sqrt{2} \\ \tt \to2 \sqrt{50} = 10 \sqrt{2} \\ \tt \to2 \sqrt{50} = 10 \times 1.414 = 14.14$

✫Now find, √108

$\tt \to \sqrt{108} = \sqrt{3 \times 36} \\ \tt \to \sqrt{108} = 6 \times \sqrt{3} \\ \tt \to \sqrt{108} = 6 \times 1.732 = 10.392$

✫Now find 6√75

$\tt \to6 \sqrt{75} = 6 \sqrt{25 \times 3} \\ \tt \to6 \sqrt{75} = 6 \times 5 \sqrt{3} \\ \tt \to6 \sqrt{75} = 30 \times \sqrt{3} \\ \tt \to6 \sqrt{75} = 30 \times 1.732 = 51.96$

✫Now put the values to find 2√50 + √108 + 6√75

= 14.140 + 10.392 + 51.96

= 76.492

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