From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

8. Write down the square root of the following:

(a) [tex]\sqrt{81}[/tex]

(b) [tex]\sqrt{1}[/tex]

(c) [tex]\sqrt{121}[/tex]

(d) [tex]\sqrt{0}[/tex]

(e) [tex]\sqrt{49}[/tex]


Sagot :

Sure! Let's find the square roots for the given numbers step by step.

(a) [tex]\(\sqrt{81}\)[/tex]:
The number 81 is a perfect square since it can be expressed as the product of the integer 9, i.e., [tex]\(81 = 9 \times 9\)[/tex]. Therefore, the square root of 81 is:

[tex]\[ \sqrt{81} = 9.0 \][/tex]

(b) [tex]\(\sqrt{1}\)[/tex]:
The number 1 is a perfect square since it can be expressed as the product of the integer 1, i.e., [tex]\(1 = 1 \times 1\)[/tex]. Therefore, the square root of 1 is:

[tex]\[ \sqrt{1} = 1.0 \][/tex]

(c) [tex]\(\sqrt{121}\)[/tex]:
The number 121 is a perfect square since it can be expressed as the product of the integer 11, i.e., [tex]\(121 = 11 \times 11\)[/tex]. Therefore, the square root of 121 is:

[tex]\[ \sqrt{121} = 11.0 \][/tex]

(d) [tex]\(\sqrt{0}\)[/tex]:
The number 0 is a special case where it is its own square, i.e., [tex]\(0 = 0 \times 0\)[/tex]. Therefore, the square root of 0 is:

[tex]\[ \sqrt{0} = 0.0 \][/tex]

(e) [tex]\(\sqrt{49}\)[/tex]:
The number 49 is a perfect square since it can be expressed as the product of the integer 7, i.e., [tex]\(49 = 7 \times 7\)[/tex]. Therefore, the square root of 49 is:

[tex]\[ \sqrt{49} = 7.0 \][/tex]

In summary, the square roots are:
- [tex]\(\sqrt{81} = 9.0\)[/tex]
- [tex]\(\sqrt{1} = 1.0\)[/tex]
- [tex]\(\sqrt{121} = 11.0\)[/tex]
- [tex]\(\sqrt{0} = 0.0\)[/tex]
- [tex]\(\sqrt{49} = 7.0\)[/tex]

Answer:

(a) 9

(b) 1

(c) 11

(d) 0

(e) 7

Step-by-step explanation:

Given:

  • (a) √(81)
  • (b) √(1)
  • (c) √(121)
  • (d) √(0)
  • (e) √(49)

To find the square root, we need to find the number that, when multiplied by itself, equals the given value.

a) 9 * 9 = 81

Therefore, √81 = 9

b) 1 * 1 = 1

Therefore, √1 = 1

c) 11 * 11 = 121

Therefore, √121 = 11

d) 0 * 0 = 0

Therefore, √0 = 0

e) 7 * 7 = 49

Therefore, √49 = 7