Roots of Irrational Numbers???

Question

A. Between what two consecutive integers do each of the following numbers like?

1. square root of 21
2. square root of 50
3. square root of 70
4. square root of 98
5. square root of 145
6. square root of 250
7. square root of 310
8. square root of 450
9. square root of 555
10. square root of 650
11. cube root of 16
12. cube root of 60
13. cube root of 200
14. fifth root of 150
15. fourth root of 175



B. Find a one-decimal place approximation for each of the following expressions:

1. square root of 10
2. square root of 18
3. square root of 30
4. square root of 37
5. square root of 50
6. cube root of 8
7. fifth root of 26
8. fourth root of 45
9. square root of 65
10. cube root of 99
11. negative square root of 20
12. negative cube of 35
13. negative fourth root of 200
14. cube root of 15
15. cube root of 30




Pls. help me pls. i need it now pls. pls. i'm begging you pls. pls. pls. very pls.

Answer 1

PART A:

For problems 1 through 10, just think of the squares that are higher and lower. For example, 21 is between 4² (16) and 5² (25), so its square root will be between 4 and 5. Likewise 50 is between 7² (49) and 8² (64), so its square root will be between 7 and 8.

Cube roots are similar, but you just have to think about cubes.
16 is between 2^3 (8) and 3^3 (27), so its cube root will be between 2 and 3.

PART B:

Start by estimating as above. Guess a value for the decimal place and try it. If too high, guess lower. If too low, guess higher.

For example, 10 is between 3² (9) and 4² (16). The square root will be closer to 3. So let's try 3.2. If we square that we get 10.24? Too high, so now try 3.1. Squaring we get 9.61 which is too low. But which is better? 10.24 is closer than 9.61, so 3.2 is a better estimate than 3.1.

Answer 2

1) 4 , 5
2) 7 , 8
3) 8 , 9
4) 9 , 10
5) 12 , 13
6) 15 , 16
7) 17 , 18
8) 21,22
9) 23 ,24
10) 25 , 26
11) 2,3
12) 3,4
13) 5.6
14) 2,3
15) 3 , 4

1) 3.2
2) 4.2
3) 5.5
4) 6.1
5) 7.1
6) 2
7) 1.9
8) 2.6
9) 8.1
10) 4.6
11) -4.5
12) -3.3
13) - 3.8
14) 2.5
15) 3.1

Answer 3

1. 4,5
2. 7, 8
3. 7, 8
4. 9, 10
5. 12, 13

i hope that gets you started

Answer 4

just go on dividin with decimal places.....datz it.....