Square root 18 + (3/square root 2)
√18 + 3/√2
= (√36 + 3)/√2
=9/√2
= 9/√2 * √2/√2 = (9√2)/2
yea, reiny is right ......the answer is 9/sqrt(2)....the procedure is also right.....
Are you doing ashworth Brittany?
To simplify the expression √18 + (3/√2), we can start by simplifying each term separately.
First, let's simplify the square root of 18. We can express 18 as a product of its square factors:
18 = 9 × 2
Taking the square root of each factor, we have:
√18 = √(9 × 2)
Since the square root of 9 is 3, we can simplify further:
√18 = 3√2
Now, let's simplify the fraction 3/√2. To do this, we need to rationalize the denominator (remove the square root from the denominator). We do this by multiplying both the numerator and denominator by the square root of 2:
(3/√2) * (√2 / √2) = (3√2) / (2)
Combining the simplified terms, we have:
√18 + (3/√2) = 3√2 + (3√2) / (2)
Now, let's find a common denominator for the two terms. The common denominator is 2. We can rewrite the expression as follows:
(2 * 3√2 + (3√2)) / 2 = (6√2 + 3√2) / 2
Combine like terms in the numerator:
(6√2 + 3√2) / 2 = 9√2 / 2
Therefore, the simplified expression is 9√2/2.