Math / Numbers & Operations

QuestionQuestion
Express in simplest radical form. $\sqrt{64}$

Studdy Solution

STEP 1

1. We are tasked with simplifying the expression $\sqrt{64}$ .
2. The goal is to express the square root in its simplest radical form.

STEP 2

1. Identify the perfect square.
2. Simplify the square root.

STEP 3

Identify the perfect square that is equal to $64$ .
Since $64 = 8^2$ , we recognize that $64$ is a perfect square.

STEP 4

Simplify the square root using the identified perfect square.
$\sqrt{64} = \sqrt{8^2}$

STEP 5

Apply the property of square roots that $\sqrt{a^2} = a$ for non-negative $a$ .
$\sqrt{8^2} = 8$
The simplest radical form of $\sqrt{64}$ is:
$\boxed{8}$

Was this helpful?

QuestionQuestion
Express in simplest radical form. $\sqrt{64}$

Studdy Solution

STEP 1

1. We are tasked with simplifying the expression $\sqrt{64}$ .
2. The goal is to express the square root in its simplest radical form.

STEP 2

1. Identify the perfect square.
2. Simplify the square root.

STEP 3

Identify the perfect square that is equal to $64$ .
Since $64 = 8^2$ , we recognize that $64$ is a perfect square.

STEP 4

Simplify the square root using the identified perfect square.
$\sqrt{64} = \sqrt{8^2}$

STEP 5

Apply the property of square roots that $\sqrt{a^2} = a$ for non-negative $a$ .
$\sqrt{8^2} = 8$
The simplest radical form of $\sqrt{64}$ is:
$\boxed{8}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionQuestionExpress in simplest radical form. 64\sqrt{64}64​

Studdy Solution

STEP 1

1. We are tasked with simplifying the expression 64\sqrt{64}64​.2. The goal is to express the square root in its simplest radical form.

STEP 2

1. Identify the perfect square.2. Simplify the square root.

STEP 3

Identify the perfect square that is equal to 646464.Since 64=8264 = 8^264=82, we recognize that 646464 is a perfect square.

STEP 4

Simplify the square root using the identified perfect square.64=82\sqrt{64} = \sqrt{8^2}64​=82​

STEP 5

Apply the property of square roots that a2=a\sqrt{a^2} = aa2​=a for non-negative aaa.82=8\sqrt{8^2} = 882​=8 The simplest radical form of 64\sqrt{64}64​ is:8\boxed{8}8​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionQuestion
Express in simplest radical form. $\sqrt{64}$

1. We are tasked with simplifying the expression $\sqrt{64}$ .
2. The goal is to express the square root in its simplest radical form.

1. Identify the perfect square.
2. Simplify the square root.

Identify the perfect square that is equal to $64$ .
Since $64 = 8^2$ , we recognize that $64$ is a perfect square.

Simplify the square root using the identified perfect square.
$\sqrt{64} = \sqrt{8^2}$

Apply the property of square roots that $\sqrt{a^2} = a$ for non-negative $a$ .
$\sqrt{8^2} = 8$
The simplest radical form of $\sqrt{64}$ is:
$\boxed{8}$