How do you find the square roots?

Answer 1

There is normally a square root button on your calculator

The square root of a number is a number times itself. Most square roots are memorized, such as the square root of 16 being four. The easiest way to find a square root is using the root function on a calculator.

you find the square route by thinking what times this number equals this number. For example.... the square route of 64 is 8 because 8x8 equals 64. Basically the same number times itself. Another example 12x12=144 notice the factors are the same.

Answer 2

For any real number a, finding the value of a^2 is called squaring the number.

For example,

2^2 = 4; 2 squared is equal to 4; the square of 2 is 4.

(-2)^2 = 4; -2 squared is equal to 4; the square of -2 is 4.

If a^2 = b, then a is called a square root of b. The radical sign indicates a square root. The expression under the radical sign is called the radicand. An expression that contains a radical sign is called a radical expression.

Every positive real number b has two square roots. The expression square root of b indicates its positive square root, called the principal square root. The expression -(square root of b) indicates its negative square root.

Rational numbers such as 25 or 0.01 are called perfect squares because their roots are rational numbers.

square root of 25 = 5; -(square root of 25) = -5

square root of 0.01 = 0.1; -(square root of 0.01) = -0.1

If a rational number is not a perfect square, then its square roots are Irrational Numbers. this means that their decimal representations are nonterminating, or nonrepeating decimals. Therefore, you cannot write exact decimal values, but you can find an approximation. For example,

1. The square root of 10.

Square root of 10 is between the square root of 9 and square root of 16. Therefore the square root of 10 is between 3 and 4.

Sometimes your approximation needs to be more precise. Is it closer to 3 or 4? You can say that 9 is closer to 10. Therefore, square root of 10 is approximately 3 (as a whole number).

2. The square root of 10 = 3. 16227766

If you need an answer to the nearest tenth, you can round down it to 3.2, since 6 > 5.

3. Approximate the square root of 4.3 to the nearest hundredth.

square root of 4.3 = 2.073644135. Since 3 < 5, round down to 2.07.