Question

rationalize the denominator of each of the following 3 upon 2 root 5

Answer 1

3/2√5

By rationalization,

(3×√5)/(2√5×√5)

(3√5)/(2×5)

(3√5)/10



I hope this will help you

-by ABHAY

Answer 2

Answer:

Step-by-step explanation:

Concept:

In elementary algebra, the procedure of rationalization is performed to get rid of the irrational number in the denominator. To rationalize the denominator, a variety of strategies are available. Making something more effective is the exact meaning of the word rationalize. Its use in mathematics entails simplifying and reducing the equation to its more useful form.

Given:

The denominator of each of the following $3$ upon $2$ root $5$

Find:

To find the rationalize the denominator of the following

$3/\sqrt{5$

Solution:

We are aware of the justification element for $1/\sqrt{a$  = $\sqrt{a}$

We will multiply the supplied expression's numerator and denominator

$3/2\sqrt{5}$ by $\sqrt{5}$ to get

$3/2\sqrt{5} * \sqrt{5} / \sqrt{5} = 3\sqrt{5} / 2\sqrt{5} * \sqrt{5}$

= $3\sqrt{5} / 2 * 5$

= $3\sqrt{5} / 10$

Hence the given expression is simplified to $3\sqrt{5} / 10$

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