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PLEASE ANSWET ASAP! -Brainlist to right answer
Ashton estimates the square root of 50 in the following way: √50 = 2 √25 = 2 x 5 = 10

A- Explain why his reasoning is incorrect.

B- Estimate the square root of 50 to the nearest tenth without using your calculator.
SHOW YOUR WORK

Respuesta :

Answer:

aprox 7.1

Step-by-step explanation:

A - it is wrong because he is using wrongly the properties of radicals. He is, nevertheless, using a good intuition.

B

[tex] \sqrt[]{50} = \sqrt[]{2\cdot 25} = \sqrt[]{2}\cdot \sqrt[]{25} = 5\sqrt[]{2}[/tex]

So, since [tex]\sqrt[]{2} = 1.41[/tex] (aproximately), then

[tex] \sqrt[]{50} = 5\cdot 1.41 = 7.07[/tex] which is 7.1 when rounded.

MidasAnswers
A -

By saying SQRT(50) = (2) X SQRT(25) is wrong because

(2) X SQRT(25) = SQRT(4) X SQRT(25)
= SQRT (100)

B -

To estimate the square room of 50, we have to break 50 into multiples like 1 X 50, 2X25
The ideal multiple should consist at least one integer that can be square root into an integer. Now, let’s start with the multiples of 50.

1 X 50, 2 X 25, 5 X 10,

The most deal multiple is 2 X 25 as it contains an integer 25, that can be squareroot into another integer.
Hence, it will be
SQRT(2) X SQRT(25) =
SQRT (2) X 5 = (1.41) X 5 = 7.05

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