Question

what is the principal root of the following
1. √1
2. √8
3. √52
4. √256
5. √15

Answer 1

$\sqrt{1} = 1 \\ \\ \sqrt{8} = 2 \sqrt{2} \\ \\ \sqrt{52} = 2 \sqrt{13} \\ \\ \sqrt{256} = 16 \\ \\ \sqrt{15} = \sqrt{3} . \sqrt{5}$

Answer 2

The principal root of the following are:

1. √1        = 1

2. √8       = $2\sqrt{2}$

3. √52     $=2\sqrt{13}$

4. √256   $= 16$

5. √15      $=\sqrt{3} .\sqrt{5}$

Step-by-step explanation:

Given:

(1). √1    ( 2). √8       (3). √52     (4). √256      (5). √15

To Find:

The principal root of the following

(1). √1    ( 2). √8       (3). √52     (4). √256      (5). √15

Concept Used:

For a non-negative real number, n  the principal square root is the non-negative solution to $p^{2} =n$.

The symbol √n  is used for the principal square root of n.

The  principal square root of 5 , denoted √5  is the number whose square is 5.

Solution:

As given, (1). √1    ( 2). √8       (3). √52     (4). √256      (5). √15

The principal root of the following are:

1. √1        = 1

2. √8       = $2\sqrt{2}$

3. √52     $=2\sqrt{13}$

4. √256   $= 16$

5. √15      $=\sqrt{3} .\sqrt{5}$

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