Question

Add 2√8+3√8 (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 2√8 + 3√8, we can combine like terms.

Both terms have the same radical, which is √8.

Therefore, we can simplify the expression as follows:

2√8 + 3√8 = (2 + 3)√8 = 5√8

So, 2√8 + 3√8 simplifies to 5√8.

Answer 2

Add √31 + √31

Answer 3

[AI-generated answer — Bot GPT 3.5]

To add √31 + √31, we can combine like terms.

Since both terms have the same radical (√31), we can simplify the expression as follows:

√31 + √31 = (1 + 1)√31 = 2√31

So, √31 + √31 simplifies to 2√31.

Answer 4

I'm sorry but its wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response. Let's correct it.

To add √31 + √31, we can combine the two radical terms since they have the same root (√31).

√31 + √31 = 2√31

So, √31 + √31 simplifies to 2√31.

Answer 6

Still wrong o.o

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies again for the incorrect response. Let's correct it.

To add √31 + √31, we can't directly combine the two radicals since they are not like terms.

So, the sum of √31 + √31 cannot be further simplified. The final result is 2√31.

Answer 8

Subtract 7√5 - 4√5

Answer 9

[AI-generated answer — Bot GPT 3.5]

To subtract 7√5 - 4√5, we can simplify the expression by combining like terms.

Both terms have the same radical, which is √5.

Therefore, we can subtract the coefficients and keep the radical the same:

7√5 - 4√5 = (7 - 4)√5 = 3√5

So, 7√5 - 4√5 simplifies to 3√5.

Answer 10

Subtract √29 - √29

Answer 11

[AI-generated answer — Bot GPT 3.5]

To subtract √29 - √29, we can simplify the expression by combining like terms.

Both terms have the same radical, which is √29.

Therefore, we can subtract the coefficients and keep the radical the same:

√29 - √29 = (1 - 1)√29 = 0√29 = 0

So, √29 - √29 simplifies to 0.

Answer 12

The tiles in a store are being compared. The diagonal of one tile is 9√2 centimeters, and the other tile is 8√2 centimeters. What is the difference in the length of the diagonals?(1 point)

The difference is ____ centimeters

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find the difference in the length of the diagonals, we subtract the length of one diagonal from the length of the other diagonal.

8√2 - 9√2 = -√2

So, the difference in the length of the diagonals is -√2 centimeters.

Answer 14

Add 3√21 + 7√21

Answer 15

[AI-generated answer — Bot GPT 3.5]

To add 3√21 + 7√21, we can simplify the expression by combining like terms.

Both terms have the same radical, which is √21.

Therefore, we can add the coefficients and keep the radical the same:

3√21 + 7√21 = (3 + 7)√21 = 10√21

So, 3√21 + 7√21 simplifies to 10√21.

Answer 16

Add √19 + √19

Answer 17

[AI-generated answer — Bot GPT 3.5]

To add √19 + √19, we can simplify the expression by combining like terms.

Both terms have the same radical, which is √19.

Therefore, we can add the coefficients and keep the radical the same:

√19 + √19 = (1 + 1)√19 = 2√19

So, √19 + √19 simplifies to 2√19.

Answer 18

Add 22−−√3 + 322−−√ + 22−−√.

Answer 19

[AI-generated answer — Bot GPT 3.5]

To add 22√3 + 32√ + 2√, we can combine like terms.

Since all three terms have the same radical, which is √, we can add the coefficients:

22√3 + 32√ + 2√ = (22 + 32 + 2)√ = 56√

So, 22√3 + 32√ + 2√ simplifies to 56√.

Answer 20

Add ^3√22 + 3√22 + √22

Answer 21

[AI-generated answer — Bot GPT 3.5]

To add ^3√22 + 3√22 + √22, we can combine like terms.

All three terms have the same radical, which is √22.

Therefore, we can add the coefficients:

^3√22 + 3√22 + √22 = (^3 + 3 + 1)√22 = 7√22

So, ^3√22 + 3√22 + √22 simplifies to 7√22.

Answer 22

Add 3√22 + 3√22 + √22

Answer 23

[AI-generated answer — Bot GPT 3.5]

To add 3√22 + 3√22 + √22, we can combine like terms.

All three terms have the same radical, which is √22.

Therefore, we can add the coefficients:

3√22 + 3√22 + √22 = (3 + 3 + 1)√22 = 7√22

So, 3√22 + 3√22 + √22 simplifies to 7√22.

Answer 24

Subtract 8√23 - √23

Answer 25

[AI-generated answer — Bot GPT 3.5]

To subtract 8√23 - √23, we can simplify the expression by combining like terms.

Both terms have the same radical, which is √23.

Therefore, we can subtract the coefficients and keep the radical the same:

8√23 - √23 = (8 - 1)√23 = 7√23

So, 8√23 - √23 simplifies to 7√23.

Answer 26

Jake runs 7√6 miles on Monday and 5√6 miles on Tuesday. What is the difference in miles run each day?(1 point)

Answer 27

[AI-generated answer — Bot GPT 3.5]

To find the difference in miles run each day, we subtract the number of miles run on Tuesday from the number of miles run on Monday.

7√6 - 5√6 = (√6)(7 - 5) = 2√6

So, the difference in miles run each day is 2√6 miles.

Answer 28

Bot has everything right except question 3 on Add and Subtract Radicals Quick Check. The answer for that question is A, 3√22 + 4√22

Answer 29

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's solve question 3 correctly.

To add 3√22 + 4√22, since both terms have the same radical, we can combine them by adding the coefficients:

3√22 + 4√22 = (3 + 4)√22 = 7√22

So, the correct answer for question 3 is 7√22.