Is the square root of 2 between 1.3 and 1.4? how do you know!

1 answer:

4 0

Find the square root of 2 between 1.3 and 1.4
=> Square root of 2 is 1.4
Square root is a number that is multiplied twice like x2, y2
=> 1.4 is the square root of 2
Now, let’s check if we got the correct answer:
=> 1.4 * 1.4
=> 1.96 or rounded to 2
Notice that the square root of 2 is a decimal number, this is called not perfect squares.
Perfect square root are those with whole numbers answers.

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How do I solve this equation?

kow [346]

Answer: 2 * sqrt(2)

I attached an image to show you what I mean

Step-by-step explanation:

First add 20 on both sides

5x^(2 / 3) = 10

divide both sides by 5

x^(2 / 3) = 2

Now be reminded that the power of 2/3 is the same as x^2 cube root (to the third root)

So we now cube both sides to get rid of the cube root

x^2 = 2^3

which simplifies to x^2 = 8

We now just find the square root of both sides

so x = sqrt(8)

square root of 8 is simply sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)

So x = 2 * sqrt (2)

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