Question

4√6 + 7√6 is equal to:

a) 10√6
b) 11√6
c) 4√12
d) 8√12

Answer 1

Answer:

c) 11√6

explanation:

4 + 7 = 11 and the √ remain same

Answer 2

4√6 + 7√6 = 11√6

Given :

4√6 + 7√6

To find :

4√6 + 7√6 is equal to

a) 10√6

b) 11√6

c) 4√12

d) 8√12

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is 4√6 + 7√6

Step 2 of 2 :

Find the sum

The surds having the same common surds factor is known as Similar Surds

Now 4√6 and 7√6 are Similar Surds

We know that , a√n + b√n = (a + b)√n

So we have

4√6 + 7√6

= (4 + 7)√6

= 11√6

Hence the correct option is b) 11√6

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