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What has integers as a square root?
perfect squares
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
Is 120 a perfect square?
No, it is not. For it to be a perfect square, the square root of it would have to be an integer, but √120 ≈ 10.954. 100 and 121 are perfect squares nearest to 120. ■
Is 224 a perfect square?
To determine if 224 is a perfect square, we need to find its square root. The square root of 224 is approximately 14.96. Since the square root is not a whole number, 224 is not a perfect square. Perfect squares are numbers that are the result of an integer multiplied by itself, such as 9 (3x3) or 16 (4x4).
Is the square root numbers rational or irrational?
It depends. If a number is a perfect square or a ratio of perfect squares then its square root is rational. If not, the square root is irrational.For example,Consider 9/4. Since 9 and 4 are both perfect squares, the square root of their ratio is rational. sqrt(9/4) = 3/2 or 1.5. But this is less obvious if the number is presented to you as sqrt(2.25)
What has integers as a square root?
perfect squares
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
What is the relationship between perfect squares and square roots?
The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36
Is 42 a square number using perfect squares?
No. The two closest squares are 49 and 36. The square root of 49 being 7 and the square root of 36 being 6. you can conclude that the square root of 42 isn't a perfect square, but it's square root is between 7 and 6.
Simplify the square root of 512?
The idea is to take out perfect squares. The largest perfect square in this case is 256, which is the square of 16 (if you have trouble figuring this out, you can take out a smaller perfect square first, and then see if you find additional perfect squares). In any case, the end result should not have a factor that is a perfect square. Using the symbol "root()" for square root: root(512) = root(256 x 2) = root(256) x root(2) = 16 root(2)
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
Is 120 a perfect square?
No, it is not. For it to be a perfect square, the square root of it would have to be an integer, but √120 ≈ 10.954. 100 and 121 are perfect squares nearest to 120. ■
What numbers are between 3000 and 3200 that are perfect squares?
The square root of 3000 is 54.77 and the square root of 3200 is 56.57. So the only perfect squares in the required number range are 552 = 3025 and 562 = 3126.
Is 224 a perfect square?
To determine if 224 is a perfect square, we need to find its square root. The square root of 224 is approximately 14.96. Since the square root is not a whole number, 224 is not a perfect square. Perfect squares are numbers that are the result of an integer multiplied by itself, such as 9 (3x3) or 16 (4x4).
Is the square root numbers rational or irrational?
It depends. If a number is a perfect square or a ratio of perfect squares then its square root is rational. If not, the square root is irrational.For example,Consider 9/4. Since 9 and 4 are both perfect squares, the square root of their ratio is rational. sqrt(9/4) = 3/2 or 1.5. But this is less obvious if the number is presented to you as sqrt(2.25)
How do you estimate a square root that is not a perfect square yet?
Find the perfect squares that your number lies between. Your square root will lie between their square roots. Whichever it is closer to will indicate the size of the decimal.
How do you Simplify the square root of 490x2?
By carrying out the multiplication, then looking for perfect squares in the factors.
