Question

simplify 7 √99

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify √99, we need to find the largest square number that can be multiplied by another number to equal 99.

The largest square number that can be multiplied by another number to equal 99 is 9, since 9 * 11 = 99.

Therefore, √99 can be simplified to √9 * √11.

Since √9 is equal to 3, √99 simplifies to 3√11.

So, 7√99 simplifies to 7 * 3√11, which is equal to 21√11.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify √99, we need to first find the prime factorization of 99:

99 = 3 * 3 * 11

Since 99 has two factors of 3, we can take one out of the square root:

√99 = √(3 * 3 * 11) = 3√11

Therefore, the simplified form of 7√99 is 21√11.

Answer 3

[AI-generated answer — Explain Bot]

To simplify √99, you need to find the largest perfect square that is a factor of 99. In this case, 9 is the largest perfect square that divides 99 evenly (9 * 11 = 99).

Now, let's rewrite the square root of 99 as the square root of 9 times the square root of 11:

√99 = √(9 * 11)

Using the property of square roots that states √(ab) = √a * √b, we can split the square root of 9 and the square root of 11:

√(9 * 11) = √9 * √11

Simplifying further, the square root of 9 is simply 3:

√9 = 3

Therefore, we have:

√99 = 3 * √11

So, to simplify 7√99, we multiply the simplification of √99 by 7:

7 * (3 * √11) = 21√11

Thus, 7√99 simplifies to 21√11.