Question

Select all that are like radicals after simplifying.

a. √ 18 and √ 50
b. √ 25 and √9
c. √ 27 and √ 64
d. √ 16 and √ 81

Answer 1

After simplifying, the pairs with like radicals are √18 and √50.

Step-by-step explanation:

After simplifying, we can check which pairs of numbers have like radicals.

a. √18 and √50
√18 can be simplified to √(9 * 2) = √9 * √2 = 3√2.
√50 can be simplified to √(25 * 2) = √25 * √2 = 5√2.
So, √18 and √50 have like radicals.

b. √25 and √9
√25 = 5 and √9 = 3. These are not like radicals as 5 and 3 are different numbers.

c. √27 and √64
√27 = 3√3 and √64 = 8. These are not like radicals as 3√3 and 8 are different.

d. √16 and √81
√16 = 4 and √81 = 9. These are not like radicals as 4 and 9 are different numbers.

So, the pairs with like radicals after simplifying are a. √18 and √50.