Simplfy 7sqrt(3/6)
Simplify 7sqrt(3/6)
Breakdown the radicals
7 (sqrt3)/(sqrt6)
7 (sqrt3)/(sqrt3)(sqrt2)
7/(sqrt2)
Rationalize the denominator
7/(sqrt2)*(sqrt2)/(sqrt2)
7/2 (sqrt2) or 7(sqrt2)/2
3/6=1/2
7sqrt(3/6)=7sqrt(1/2)=7/sqrt(2)
To simplify the expression 7√(3/6), we can start by simplifying the fraction inside the square root:
3/6 is equivalent to 1/2 when simplified, since both the numerator and denominator can be divided by 3. Therefore, we have:
7√(1/2)
Next, we can simplify the square root. The square root of 1 is always 1, so we have:
7 * 1√(2)
Since the square root of 2 cannot be simplified any further, we have:
7√2
Therefore, the simplified expression is 7√2.