√36/12 × √81/36
√36/12 = √3
√81/36 = √9/6 = √3/2
Therefore, √36/12 × √81/36 = (√3)(√3/2) = 3/2
To simplify the expression, we can first simplify the square roots:
√36/12 = √(6^2)/12 = 6/12 = 1/2
√81/36 = √(9^2)/36 = 9/36 = 1/4
Now, we can multiply the simplified fractions:
(1/2) × (1/4) = (1 × 1)/(2 × 4) = 1/8
Therefore, √36/12 × √81/36 simplifies to 1/8.
To simplify the expression √36/12 × √81/36, you can first simplify each square root individually and then multiply the resulting fractions together.
Step 1: Simplify the square roots individually.
√36 = 6 because 6 * 6 = 36.
√81 = 9 because 9 * 9 = 81.
Step 2: Simplify the fractions.
√36/12 = 6/12 = 1/2 because both the numerator and the denominator can be divided by 6.
√81/36 = 9/36 = 1/4 because both the numerator and the denominator can be divided by 9.
Step 3: Multiply the simplified fractions.
(1/2) × (1/4) = 1/8.
So, the simplified expression is 1/8.