Question

Why are 2 common numbers in a square √ taken out as 1? For example, 3 √ 2×2×6, here we can write it as 3×2 √ 6.

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Answer 1

Square roots with common numbers outside the radical symbol can be simplified by grouping the common numbers and writing them outside the square root.

Step-by-step explanation:

When working with exponents, it is important to understand the relationship between exponentiation and square roots. The square root of a number can be thought of as the value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3 because 3 x 3 = 9.

In the case of square roots with common numbers outside the root symbol, such as √2 x 2 x 6, we can group the common numbers and write it as (2 x √6). This is because the square of 2 is 4, so we can rewrite the expression as 4 x √6, which simplifies to 2√6.

By grouping common numbers outside the square root symbol, we can simplify the expression and make it easier to work with.