Question

root 3 by 2 ×root 3by 2​

Answer 1

Answer:

The answer of  $\frac{\sqrt{3} }{2}\times \frac{\sqrt{3} }{2} = \frac{3}{4}$ .

Step-by-step explanation:

The result of multiplying the square root of a number by itself is the original value. It is represented by the character "." For instance, 3 is the square root of 9, as 3 x 3 equals 9. Similarly, since 4 x 4 = 16, the square root of 16 is 4.

In general, for any positive real number x, the square root can be either positive or negative. However, the convention is to only consider the positive square root, unless specified otherwise.

Additionally, there are also cube roots, fourth roots, and so on, which are similar to the square root but instead of being multiplied by themselves twice, they are multiplied by themselves three times, four times, etc. These roots are represented by a similar symbol, with a smaller number written as a superscript to the left.

Hence, the answer of  $\frac{\sqrt{3} }{2}\times \frac{\sqrt{3} }{2} = \frac{3}{4}$ .

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Answer 2

Answer:

the product of (√3/2) * (√3/2) is 3/4

Step-by-step explanation:

The product of two equal quantities is simply the square of each quantity. So, the product of (√3/2) * (√3/2) is:

(√3/2) * (√3/2) = (√3 * √3) / (2 * 2) = (3) / (4) = 3/4.

Therefore, the product of (√3/2) * (√3/2) is 3/4.

• In this context, the quantity √3/2 is a square root expression, specifically the square root of 3 divided by 2. When multiplying two square root expressions, it is often helpful to simplify the square roots first and then multiply the coefficients. In this case, the square roots are equal, so the product can be simplified as the square of the single square root expression, as demonstrated above.

• square root expressions are commonly used in mathematics, especially in geometry and trigonometry. They represent the length of the side of a square with a given area. The square root of a number is the number that, when multiplied by itself, equals the original number

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