√2/2
cos(π/4)
√2/2 is a fraction that represents a rational number. The square root of 2 is an irrational number and cannot be expressed as a finite decimal or fraction. However, when we divide √2 by 2, we get a rational number that is in the form of a fraction.
To simplify √2/2, we can divide both numerator and denominator by √2. This gives us:
√2/2 = √2/√2 * √2/2√2
= 1/√2
= √2/2√2 * √2/√2
= (√2 * √2)/(2 * √2)
= 2/2√2
= 1/√2√2
= 1/2√2
Therefore, √2/2 can be simplified to 1/2√2. This is the final answer and serves as an expression of a rational number equivalent to the original fraction.
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