Question

(2square root 2+7square root 7)+(13square root 2-4square root 7)​

Answer 1

Answer:

3[5√2 + √7]

Step-by-step explanation:

2√2 + 7√7 + 13√2 - 4√7

First, we will combine like terms together. Here, 2√2 and 13√2 are one pair of like terms and the other one is 7√7 and -4√7.

= [2√2 + 13√2] + [7√7 - 4√7]

= [15√2] + [3√7]

= 15√2 + 3√7

Now, we will find the common factors in both the terms.

= (3 × 5)√2 + (3 × 1)√7

Clearly, the common term is 3, so we will take 3 outside.

= 3[5√2 + 1√7]

= 3[5√2 + √7]

Therefore,  3[5√2 + √7] becomes the solution of the given question.

Hope this helps you!!!!