Which expression is equivalent to the given expression?

Question

square root of 50

Question 5Answer

a.
10 square root of 2

b.
5 square root of 5

c.
2 square root of 5

d.
5 square root of 2

Answer correctly, with no slashes or special characters

Answer 1

5 square root of 2

Answer 2

and why is that?

Answer 3

To understand why \( 5 \sqrt{2} \) is equivalent to \( \sqrt{50} \), we can simplify \( \sqrt{50} \) step by step.

1. Factor the number under the square root:

   • \( 50 \) can be factored into \( 25 \times 2 \).
   • We know that \( 25 \) is a perfect square.

2. Rewrite the square root:

   • \( \sqrt{50} = \sqrt{25 \times 2} \).

3. Use the property of square roots:

   • The property states that \( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \).
   • Applying this:
   • \( \sqrt{50} = \sqrt{25} \times \sqrt{2} \).

4. Simplify the perfect square:

   • Since \( \sqrt{25} = 5 \), we can substitute that back in:
   • \( \sqrt{50} = 5 \times \sqrt{2} \).

Therefore, \( \sqrt{50} \) simplifies to \( 5 \sqrt{2} \). Hence, the expression that is equivalent to \( \sqrt{50} \) is \( 5 \sqrt{2} \).

Answer 4

NO SLASHES!!

Answer 5

I apologize for the misunderstanding. The equivalent expression is:

5 square root of 2.

Answer 6

AND WHY IS THAT?!! PLEASE DONT GIVE NO SLASHES!!!

Answer 7

To explain why 5 square root of 2 is equivalent to the square root of 50:

First, we can simplify the square root of 50.

1. Factor 50: 50 can be broken down into 25 times 2.

2. Rewrite the square root: The square root of 50 can be written as the square root of 25 times the square root of 2.

3. Simplify: Since the square root of 25 is 5, we write: The square root of 50 equals 5 times the square root of 2.

So, the square root of 50 simplifies to 5 square root of 2. That's why 5 square root of 2 is the correct equivalent expression.