When adding and subtracting radicals, make the sure radicand or inside the square root are the same.

If they are the same, just add the numbers in front of the radical.

Looking carefully at the radicand we will see that each radicand is a perfect square. Therefore, we are able to reduce all of the radicals into simple integers.

  and  are all sqaure numbers so instead we have a simple algebraic problem: 

 which the answer is .

When adding and subtracting radicals, make the sure radicand or inside the square root are the same.

If they are the same, just add the numbers in front of the radical. If they are not the same, the answer is just the problem stated.

Since they are the same, just add the numbers in front of the radical:  which is 

Therefore, our final answer is the sum of the integers and the radical:

When adding and subtracting radicals, make the sure radicand or inside the square root are the same.

If they are the same, just add the numbers in front of the radical.

If they are not the same, the answer is just the problem stated.

Since they are the same, just subtract the numbers in front:  which is 

Therefore, our final answer is this sum with the radical added to the end:

When adding and subtracting radicals, make the sure radicand or inside the square root are the same.

If they are the same, just add the numbers in front of the radical.

If they are not the same, the answer is just the problem stated.

Since they are the same, just add and subtract the numbers in front:  which is 

Therefore, the final answer will be this sum and the radical added to the end:

When adding and subtracting radicals, make the sure radicand or inside the square root are the same.

If they are the same, just add the numbers in front of the radical.

If they are not the same, the answer is just the problem stated.

Even though it's not the same, double check you can simplify the radicand. Look for perfect squares. Since  and  is a perfect square, we can rewrite like this: .

Now we have the same radicand, we can now add them easily to get .

When adding and subtracting radicals, make the sure radicand or inside the square root are the same. If they are the same, just add the numbers in front of the radical. If they are not the same, the answer is just the problem stated.

Even though it's not the same, double check you can simplify the radicand. Look for perfect squares.

Since  and  is a perfect square, we can rewrite like this: .

Now we have the same radicand, we can now subtract them easily to get .

When adding and subtracting radicals, make the sure radicand or inside the square root are the same. If they are the same, just add the numbers in front of the radical. If they are not the same, the answer is just the problem stated.

Even though it's not the same, double check you can simplify the radicand. Look for perfect squares.

Since ,  and  and  are perfect squares, we can rewrite like this: 

 and .

Now that we have the same radicand, we can add them easily to get:

 . 

When adding and subtracting radicals, make the sure radicand or inside the square root are the same. If they are the same, just add the numbers in front of the radical. If they are not the same, the answer is just the problem stated.

Even though it's not the same, double check you can simplify the radicand. Look for perfect squares.  and  are perfect squares so we can rewrite like this: 

Since  and  is a perfect square, we can rewrite like this: 

. 

Lets add everything up. 

  .

The reason this is the answer, because the  is associated with the radical and we can't subtract a whole number with the radical. They are not the same. 

When adding and subtracting radicals, make the sure radicand or inside the square root are the same. If they are the same, just add the numbers in front of the radical. If they are not the same, the answer is just the problem stated. Even though it's not the same, double check you can simplify the radicand. Look for perfect squares.  

Since 

 and  are perfect squares, we can rewrite like this:

Lets add everything up. 

We can only add or subtract radicals if they have the same radicand (part underneath the radical.

Combine the radicals with the radicand 3:

   the three in front of the radical came from the 1 in the original problem. It is not written but understood to be there similar to how the whole number 5 is understood to be over 1: 5/1=5

Now take the perfect square and multiply by the constant outside the radical: