Question

0 1 2 3 4 5 6 7 8 9 10Between what two whole numbers would 68 fall on the number line above? 8 and 9 6 and 79 and 107 and 8

Answer 1

√(68)=√(4*17)

Use this property:

√(a*b)=√(a)*√(b)

√(4*17)=√(4)*√(17)=2 * √(17)

Where:

√(17)≈4.21

So:

2 * √(17)≈ 8.25

8.25 is between 8 and 9 because:

8.25>8

and

8.25<9

8<8.25<9