Question

Find the sum 6y square root a + 7y square root a

Answer 1

13y square root a is the correct answer. This can be acheived by combining like terms.

Answer 2

Answer:  The required sum is $13y\sqrt a.$

Step-by-step explanation:  We are given to find the sum of the following two radical expressions:

$E_1=6y\sqrt{a},\\\\E_2=7y\sqrt{a}.$

Since both the expressions involve the same radical term, so we can simply take the radical term common and add the rest of the terms to get the result.

The summation is as follows:

$S\\\\=E_1+E_2\\\\=6y\sqrt{a}+7y\sqrt{a}\\\\=(6y+7y)\sqrt{a}\\\\=13y\sqrt{a}.$

Thus, the required sum is $13y\sqrt a.$