Question

divide 98 as irrational number / 3 as radicand and 5 as radical

Answer 1

√98/3√5

Answer 2

no give n exct answer

Answer 3

To divide 98 by an irrational number, we need to specify which irrational number to use. Let's use the square root of 3 (√3) as the irrational number.

To find the division of 98 by √3, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is √3.

98 / √3 = (98 * √3) / (√3 * √3)
= (98√3) / 3
= (98/3) * √3

So, dividing 98 as an irrational number by 3 as the radicand gives us (98/3)√3.

Now, let's divide 5 by a radical, √3.

5 / √3 = (5 * √3) / (√3 * √3)
= (5√3) / 3

Therefore, dividing 5 by √3 gives us (5/3)√3.

Answer 4

To divide √98 by 3√5, we can simplify by rationalizing the denominator.

First, let's simplify √98:

√98 = √(2 * 49) = √2 * √49 = 7√2.

Now, we can rewrite the division expression as:

(7√2) / (3√5).

To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator (√5):

[(7√2) / (3√5)] * [(√5) / (√5)].

This simplifies to:

(7√2√5) / (3√5√5) = (7√10) / (3 * 5) = (7√10) / 15.

Thus, the final result is (7√10) / 15.

Answer 5

Apologies for the confusion. Let's calculate the exact answer without any approximate decimal values.

To divide √98 by 3√5, we can simplify it as follows:

√98 / 3√5

First, let's simplify the radicands:

√98 = √(2 * 7^2) = 7√2
√5 = √5

Now, we can rewrite the division expression as:

(7√2) / (3√5)

To divide these expressions, we can multiply the numerator and denominator by the conjugate of the denominator:

[(7√2) / (3√5)] * [(√5) / (√5)]

This simplifies to:

(7√2 * √5) / (3√5 * √5)

Multiplying the square roots:
(7√10) / (3 * 5)

Simplifying:
(7√10) / 15

Therefore, the exact answer is (7√10) / 15.