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Which expression is equal to 5/(sqrt)11?

A5(sqrt)11/11
B(sqrt)5/11
C(sqrt)55/11
D25/11

please help, I'm confused.

Verified Answer :

5/√11
In this case:
if you want to delete the roots in the denominator you have to multiply the numerator and the denominator by √11; therefore:
(5/√11)(√11/√11)=5√11/11.

answer; a)5√11/11

Answer:

Option A is correct

the expression is equal to \(\frac{5}{ \sqrt{11}}\) is \(\frac{5\sqrt{11}} {11}\)

Explanation:

Given expression is, \(\frac{5}{ \sqrt{11}}\)

Multiply and divide by the denominator by \(\sqrt{11}\) in the given expression, we have,

\(\frac{5}{\sqrt{11}} \times \frac{\sqrt{11}} { \sqrt{11}}\)

or

\(\frac{5 \cdot \sqrt{11}} {\sqrt{11} \cdot \sqrt{11}}\)

use : \(\sqrt{a}\cdot\sqrt{a}=(\sqrt{a} )^2 = a\)

then;

\(\frac{5\sqrt{11}} { (\sqrt{11})^2} =\frac{5\sqrt{11}} {11}\)

Therefore, the expression is equal to \(\frac{5}{ \sqrt{11}}\) is, \(\frac{5\sqrt{11}} {11}\)