simplify: sqrt 18/50
Would it be sqrt 18 / sqrt 50
Right! It would be sqrt18/sqrt50
sqrt18=3sqrt2 and sqrt50=5sqrt2
the sqrt2 cancels out, so yes, the answer is 3/5. Good Job!
3/5
To simplify the expression √(18/50), you can simplify the numerator and denominator separately and then divide the simplified numerator by the simplified denominator.
Let's start with the numerator, √18. The square root of 18 can be simplified by factoring it into its prime factors: 18 = 2 × 3 × 3. Since there are two 3's, we can take one of them out from under the square root: √18 = √(2 × 3 × 3) = 3√2.
Now let's simplify the denominator, √50. Similarly, we can find the prime factorization of 50: 50 = 2 × 5 × 5. Since there are two 5's, we can take one of them out from under the square root: √50 = √(2 × 5 × 5) = 5√2.
Now we can divide the simplified numerator by the simplified denominator: (3√2) / (5√2). Since both the numerator and denominator have the same square root (√2), we can simplify further by canceling them out: (√2/√2 = 1). Therefore, the simplified expression is 3/5.
So, simplifying the expression √(18/50) leads to the result 3/5.