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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an equivalent fraction with a rational denominator?

Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction-example-1
Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction-example-1
Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction-example-2
User Motto
by
3.6k points

2 Answers

6 votes

Answer:

B

Explanation:

Because trust is a good thing in this world

User Marthym
by
3.6k points
7 votes

Answer:

  • (√17 + √2)/(√17 + √2)

Explanation:

You need to determine the conjugate of the denominator.

√17 - √2 has conjugate of √17 + √2, when multiplied the product is going to be a rational number:

  • (√17 - √2)/(√17 + √2) = 17 - 2 = 15

Therefore correct choice is B or second from the top:

  • (√17 + √2)/(√17 + √2)
User Chela
by
3.4k points