Question

√2-2(4√2) how to solve this​

Answer 1

Step-by-step explanation:

For this question..you need to know about Rationalization of Denominators. Rationalizing the Denominator the process by which a fraction is rewritten so that the denominator contains only rational numbers . In this we multiply and divide the numerator and the denominator with a number to get rid of the surd in denominator and then proceed for further calculations. In your question the given surd is √2,so we will eliminate √2.

4/√2 = (4/√2)*(√2/√2)…[Multiplying √2 to both numerator and the denominator to get rid of the surd √2]

=(4*√2)/(√2*√2)

=(4*√2)/2

=2*√2

The value of √2 is approx 1.414.

So…2*√2 = 2*1.414 = 2.828 or 2.83 approx.

So the required answer is 2.83