Question

1/root 6 + root5 -root 11

Answer 1

Explanation:

To simplify the expression 1/√6 + √5 - √11, we can rationalize the denominators of the square roots.

Step 1: Rationalize the denominator of √6:

Multiply the numerator and denominator of 1/√6 by √6 to get (√6 * 1) / (√6 * √6) = √6 / 6.

Step 2: Rationalize the denominator of √11:

Multiply the numerator and denominator of √11 by √11 to get (√11 * √11) / (√11 * √11) = √11 / 11.

Now the expression becomes:

√6 / 6 + √5 - √11 / 11

There are no like terms that can be combined, so this is the simplified form of the expression.

Answer 2

To simplify the expression 1/√6 + √5 - √11, we can rationalize the denominators of the square roots.

First, let's rationalize the denominator of 1/√6:
Multiply the numerator and denominator by √6 to get:
(1/√6) * (√6/√6) = √6/6

The expression becomes: √6/6 + √5 - √11

Now, the expression is simplified to: (√6 + √5 - √11) / 6

Note that the expression cannot be further simplified without more information about the values of √6, √5, and √11.