The square root of 3⁄2 can be expressed as follows:
To find the square root of a fraction, you take the square root of the numerator and the square root of the denominator separately. Therefore:
Step 1: Calculate the square root of the numerator (3):
√3 = √3
Step 2: Calculate the square root of the denominator (2):
√2 = √2
So, the square root of 3⁄2 is:
√3⁄√2
This means:
The simplified form remains √3⁄√2. However, if you need it in decimal form, you can calculate:
√3 ≈ 1.732 and √2 ≈ 1.414, so:
Approximately, it would be about 1.732 ⁄ 1.414, which equals ≈ 1.2247.
In conclusion:
The square root of 3⁄2 in fraction form is √3⁄√2, and it cannot be simplified further into rational numbers.