Divide 95√35√ . Provide an exact answer.

Answer 1

To divide √35 by √5, we can simplify as follows:

√35 / √5 = √(35/5) = √7.

Now, to divide 95√7 by √7, we cancel out the square root of 7:

95√7 / √7 = 95.

Therefore, the exact answer is 95.

Answer 2

Divide 95√ by 35√ . Provide an exact answer.

Answer 3

To divide 95√ by 35√, we can simplify each term separately.

The first term, 95, does not have any square roots, so it remains the same.

For the second term, √35, we can simplify it by breaking down 35 into its prime factors. The prime factorization of 35 is 5 * 7. Since there are no perfect square factors, we cannot simplify the square root any further. Therefore, √35 remains as √35.

Now we have 95√35.

To divide this by another square root, let's assume it is √b (where 'b' is any positive number):

(95√35) / √b

To divide square roots, we can convert them into exponents. The equivalent of √b is b^(1/2).

Therefore, we can rewrite the expression as:

(95 * (35)^(1/2)) / (b^(1/2)).

To divide this now, we can use the rule of exponents that states:

a^(m/n) / a^(p/n) = a^((m-p)/n).

Applying this rule to our expression, we get:

95 * ((35)^(1/2 - 1/2)) / (b^(1/2 - 1/2)).

Simplifying the exponents:

95 * (35^0) / (b^0).

Any number raised to the exponent of zero is equal to 1. Therefore, we have:

95 * 1 / 1.

So the exact answer to the division 95√ by 35√ is simply 95.