anonymous
  • anonymous
Simplify the expression 5+ radical 7 divided by 5- radical 7
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Sometimes when you have expressions with radicals on the denominator, you'd like to change it into an expression where there are no radicals in the denominator. (When you write radical 7, I'll write sqrt(7) for "square root of 7"). So if you had 1/sqrt(7), sometimes, you want to rewrite this without the root in the bottom. To do that, you'd multiply numerator and denominator by sqrt(7). Ultimately, you're multiplying by 1, but by multiplying the denominator by sqrt(7), we are able to get rid of the root. So you'd end up with [sqrt(7)] / [sqrt(7)*sqrt(7)] = sqrt(7) / 7. If the denominator is an expression like 5 - sqrt(7), you want to multiply it by "The Conjugate", which is 5 + sqrt(7). The conjugate flips the sign of the sqrt term and keeps the sign of the term without the sqrt. So the conjugate of 1 + sqrt(2) is 1 - sqrt(2). The conjugate of 1 - sqrt(2) is 1 + sqrt(2). The conjugate of -1 - sqrt(2) is -1 + sqrt(2). Anyways, by multiplying by the conjugate, you'd get rid of the root, because (5 + sqrt(7))(5 - sqrt(7)) = 25 - 7 (after you FOIL it out). This is true because (A + B)(A - B) = A^2 - B^2. And so by multiplying the numerator and denominator of the fraction you have by 5 + sqrt(7), you'd be able to rewrite the fraction without roots in the denominator.
anonymous
  • anonymous
would the answer be 16+ 5sqrt(7) divided by 9?

Looking for something else?

Not the answer you are looking for? Search for more explanations.