Exercis
Find the square root of the following
numbers using the method mentioned.
Numbers
Method
36, 81, 121
Estimation
Answers
Answer:
The product property of square roots states that for any given numbers a and b, Sqrt(a × b) = Sqrt(a) × Sqrt(b). Because of this property, we can now take the square roots of our perfect square factors and multiply them together to get our answer. In our example, we would take the square roots of 25 and 16.
Step-by-step explanation:
There will be a nonnegative real number underneath, usually a whole number.
Remember that perfect squares are produced by multiplying positive numbers by themselves. For instance, multiply the number
5
by itself to get
5
×
5
=
5
2
=
25
.
The perfect squares are as follows:
1
2
=
1
2
2
=
4
3
2
=
9
4
2
=
16
5
2
=
25
6
2
=
36
7
2
=
49
8
2
=
64
9
2
=
81
10
2
=
100
11
2
=
121
12
2
=
144
Alongside that, here's a list of the square roots of perfect squares.
√
1
=
1
√
4
=
2
√
9
=
3
√
16
=
4
√
25
=
5
√
36
=
6
√
49
=
7
√
64
=
8
√
81
=
9
√
100
=
10
√
121
=
11
√
144
=
12