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Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
(a) Explain why her reasoning is incorrect.
(b) Rewrite the problem and solve it correctly. Clearly show your work.

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PimmeeRosie

Answer:

incorrect, correct answer is 4√2

Step-by-step explanation:

When you remove the square root You will have to remove them completely. so that the inside of the square root cannot be removed any more numbers (I'm not good at English but I hope u understand what I want u to know :)))

√32 = √2×2×2×2×2

Match 2 identical numbers one at a time and bring them out. ;

√32 = 2×2√2

√32 = 4√2 correct answer!

find you If you want to check if your square root removal is correct or not. Multiply the answer you have given by itself, for example:

4√2 × 4√2 = 16×√4 = 16×2 = 32 correct!

hope it helps you <3

She had taken 2 outside without consideration of square root. And the correct value of √32 is 4√2.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Jaclyn estimates the square root of 32 in the following way:

√32 = 2√16 = 2 ∗ 4 = 8

a)  She had taken 2 outside without consideration of square root.

b)  The √32 is correctly solved below.

[tex]\sqrt{32} = \sqrt{2*2*2*2*2} = 2*2*\sqrt2=4\sqrt2[/tex]

Then the correct value of √32 is 4√2.

More about the irrational number link is given below.

https://brainly.com/question/9466779

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