Square Roots
Find the square root. If it is not a perfect square, estimate to the nearest whole number.
sqrt(64)
8
Write this as a decimal:
12
12.0
Which is larger?
-0.7 or -1.3
-0.7
Is the number rational or irrational? Why?
6/10
Rational. It's a fraction.
Write the repeating decimal as a fraction or mixed number. (Do not simplify.)
0.77777...
7/9
Find the square root. If it is not a perfect square, estimate to the nearest whole number.
sqrt(36)
6
Write this as a decimal:
3/5
0.6
Which is larger?
3/7 or 2/7
3/7
Is the number rational or irrational? Why?
3.1415926....
Irrational. It does not stop and does not repeat.
Write the repeating decimal as a fraction or mixed number. (Do not simplify.)
4.123123123...
4 and 123/999
Find the square root. If it is not a perfect square, estimate to the nearest whole number.
sqrt(30)
About 5
Write this as a decimal:
1/18
0.0555555...
Which is larger?
sqrt(12) or 3.4
sqrt(12)
Is the number rational or irrational? Why?
4.1111111....
Rational. It repeats.
Write the repeating decimal as a fraction or mixed number. (Do not simplify.)
16.7898989
16 and 782/990
Find the square root. If it is not a perfect square, estimate to the nearest whole number.
sqrt(42)
About 6
Write this as a decimal:
sqrt(12)
About 3.4641
Order from LEAST to GREATEST:
10.432, sqrt(105), 10.5
sqrt(105), 10.432, 10.5
Is the number rational or irrational? Why?
0.02345555555....
Rational. It repeats.
Write the repeating decimal as a fraction or mixed number. (Do not simplify.)
14.02344444...
14 and 211/9000
Find the square root. If it is not a perfect square, estimate to the nearest whole number.
sqrt(91)
About 10
Write this as a decimal:
sqrt(60)
About 7.746
Order from LEAST to GREATEST:
9.423, sqrt(10), 13/4
sqrt(10), 13/4, 9.423
Is the number rational or irrational? Why?
6.77889922334455...
Irrational. It does not stop and does not repeat.
Write the repeating decimal as a fraction or mixed number. (Do not simplify.)
7.155234343434...
7 and 153682/990000