Given that under root 5 = 2.236 approximately, find to three places of decimal the value of 3÷ under root 5 .

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Solution

Here is the answer.

As √5 = 2.236

So, 3 ÷ √5 = 3 ÷ 2.236 = 1.3416815742

So, the value up to three places of decimal = 1.342,
last 2 is written because next to 1 , the value is 6 which is greater than 5 , so we round the value to 1.342 instead of 1.341

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If the value of under root 6 and under root 5 are2.449 and 2.236 then the value of 1/root 6 + root 5 will be

\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236

\sqrt{10} = 3.162

\frac{\sqrt{5} + 1}{\sqrt{2}}

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\sqrt{45} + \sqrt{605} - \sqrt{245}

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\frac{\sqrt{10} - \sqrt{5}}{2 \sqrt{2}}

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\sqrt{5} = 2.236

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