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If √2=1.4142, find the value of √2 − 1√2 + 1

Question

If √2=1.4142, find the value of √2 − 1√2 + 1

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Solution

The expression you provided is √2 - 1/√2 + 1.

Step 1: Substitute the value of √2 into the expression.

= 1.4142 - 1/1.4142 + 1

Step 2: Calculate the value of 1/1.4142.

= 1.4142 - 0.7071 + 1

Step 3: Add and subtract the values.

= 1.7071

So, the value of √2 - 1/√2 + 1 is approximately 1.7071.

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