Question

Simplify the following surd expressions
a)
$6 \sqrt{2} - 5 \sqrt{2}$

b)
$\sqrt 11 + 3 \sqrt{11}$
​

Answer 1

Answer:

A) $\sqrt{2}$

B) $4\sqrt{11}$

Step-by-step explanation:

A) You can add these expression because they contain the same square root:

$6\sqrt{2} - 5\sqrt{2} = (6 - 5)\sqrt{2} =\sqrt{2}$

B) Same as above:

$\sqrt{11} + 3\sqrt{11} = (1 + 3)\sqrt{11} = 4\sqrt{11}$

Answer 2

Answer:

$A) \: 6 \sqrt{2} - 5 \sqrt{2} = (6 - 5) \sqrt{2} = \sqrt{2}$

√2 is the right answer.

$B) \sqrt{11} + 3 \sqrt{11} = (1 + 3) \sqrt{11} = 4 \sqrt{11}$

4√11 is the right answer.