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Square root of 160

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Anonymous

13y ago
Updated: 5/20/2024

sqrt(160)

We know that 12^2 = 144 and 13^2 = 169 .

So the square roots of 144 and 169 are 12 & 13 respectively,

Since 160 is between 144 & 169 , then its square root is between 12 & 13.

So by trial and Error , we try 12.5^2 = 156.25 This is too small so try 12.6

12.6^2 = 158.76 Still too smalle

12.7^2 = 161.29 This is too large , so try 12.68

12.68^2 = 160.7824 Still too large ,so try 12.67^2

12.67^2 = 16.5289 Too large

12.66^2 = 160.2756

12.65^2 = 160.0225

12.649^2 = 159.99

12.6495^2 = 160.0098503...

So to 4 d.p. the sqrt(160) ~ 12.6495

You can keep going like this, until you reach the required number of decimal places.

There is a 'mechanical' method to find square root, but it would take me all day to explain .

Per electronic calculator the answer is 12.64911064....

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lenpollock

Lvl 17
1y ago

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Related Questions

Is the square root of 160 rational or irrational?

The square root of 160 is irrational. This is because 160 can be factored into its prime components as (160 = 16 \times 10 = 4^2 \times 10), and since the square root of 10 is irrational, the overall square root (\sqrt{160} = 4\sqrt{10}) is also irrational. Thus, (\sqrt{160}) cannot be expressed as a fraction of two integers.


What is the square root of 160 simplified?

160/16=10 root 160= root 16 times root 10. root 16= 4 so 4 times root ten is your answer


What is the simplest radical form of the square root of 160?

4sq 10


The square root of 160 is between?

√160 = 12.649110641 (or 12.65 to two decimal places). It depends an what is meant by 'between'.


What is the square root of 160 rounded to the nearest thousandth?

160.000


What two consecutive integers does square root of 160 lies?

[object Object]


How many feet are in 160 square feet?

The are is calculated multiplying length by width, so 160 feet would be a room that would have length times width equal 160. For example, a rectangular room that is 16 feet long by 10 feet wide.


What is the Square root of 160?

Negative numbers do not have square roots. Multiplying any number by itself will always be a positive number. For example, -1 x -1 is 1. Because two negatives cancel themselves out, and regular numbers are always positive.


How do you simplify the square root of 160?

sqrt(160) = sqrt(16*10) = sqrt(16)*sqrt(10) = 4*sqrt(10)


What is the fifth root of 160?

The fifth root of 160 = 2.759459


What is the simpliest radical form of the square root of 160?

sqrt(160) sqrt(4^2 * 10) = 4sqrt(10) -------------------simplest radical form


What is the radical expression of the square root of 160?

sqrt(160) = sqrt(16*10) = sqrt(16)*sqrt(10) = 4*sqrt(10)