Multiplying 3/sqrt 17 - sqrt 2 by which fraction will develop an equivalent portion with a reasonable denominator

You you usage the conjugate the sqrt17 - sqrt 2 i beg your pardon is sqrt17 + sqrt2

so the portion is sqrt17 + sqrt2 sqrt17 + sqrt2
Given radical expression: .

You are watching: Multiplying by which fraction will produce an equivalent fraction with a rational denominator?

We need to uncover the portion by which portion will produce an equivalent portion with a reasonable denominator.

In the given expression, we have


Which is one irrational number in denominator.

In bespeak to acquire rid irrational number indigenous denominator and also get a rational number in denominator, we must multiply offered expression by conjugate of the denominator.

The conjugate that


Therefore, we must multiply through

fraction that will produce an equivalent fraction with a rational denominator.

The appropriate choice is B.


The correct choice is (B)

Step-by-step explanation: we are given to select the correct portion by i beg your pardon the adhering to be multiply to develop an equivalent fraction with a rational denominator.


We understand that

to rationalize the denominator having actually radical terms, we multiply both numerator and also denominator by a common term which has the the opposite sign before the radical term as in the original denominator.

In the offered denominator, both terms are radical ones, so we can adjust the authorize of any type of one of them and also then multiply to the denominator and also numerator simultaneously.

So, we will certainly multiply both numerator and also denominator through the ax

From (i), us have


Thus, the denominator is rationalized and the required fraction to be multiplied is

Option (B) is CORRECT.

4/7 is the exact same as 8/14

Step-by-step explanation:

Step-by-step explanation:

To rationalize the denominator, we normally multiply and also divide by the conjugate.

The conjugate the

is (The authorize usually that the conjugate is opposite)

So, we"re walk to multiply it by

An equivalent portion for the rational number is 8/14

Step-by-step explanation:

We can simply main point the portion by 2/2 to uncover an same fraction.

Represent a portion 1/b on a number heat diagram by defining the interval from 0 to 1 together the whole and also partitioning the into b equal parts. Recognize that each part has dimension 1/b and the the endpoint that the component based at 0 locates the number 1/b on the number line.

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