Combine Radical Numbers

To add and subtract radicals: ​ (a)   the ​ (b)   of like radicals. ​ (c)   are radicals that have the same ​ (d)   and ​ (e)   .

• combine

• coefficients

• Like radicals

• radicand

• index

• Square Root

• Nickel

• Drake

Brynlee is trying to simplify the problem below. She knows that because they all have the same index that she can rewrite them all together. Please help her select the correct next step.

• There isn't anything that she can do. It is in simplest form.

Whenever you ADD or SUBTRACT radicals, you should

• Add or Subtract each part

• Combine Like Terms

• Multiply the outside numbers

• Add or Subtract the inside numbers

• A

• B

• C

• D

• A
• B
• C
• D

• -5√1
• 8√2 + 13√3
• 21√5
• 20√5

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

Whenever you ADD or SUBTRACT Radicals, you should...

• Add Each Part

• Combine Like Terms

• Subtract Each Part

• Multiple Each Part