Determine if the square root of 45 is rational or irrational and why

2 answers:

8 0

It is not possible to break 45 into two such factors which, on squaring, give 45. It can be approximately written as a square of 6.708, which is a non-recurring and non-terminating decimal number. This shows that it is not a perfect square, which also proves that the square root of 45 is an irrational number.

elena-14-01-66 [18.8K]1 year ago

8 0

<h2>Determine if the square root of 45 is rational or irrational and why</h2>

<h3> - IRRATIONAL </h3>

The square root of 45 does not constitute a rational number or a real number because it cannot be expressed using the form of p/q.

The two distinct approaches to identify the valuation of the square root of 45 are prime factorization and the long division process.

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1 3<br> -- _ = _ y<br> 2 8<br> Please help me

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(If you are)- Solving The Equation

1. Multiply both sides by eight over three

8/3•1/2 = 8/3•3/8 which gives you 4/3.

2. Swap the sides of the equation

4/3=y turns into y= 4/3 and that’s your answer. (y=4/3).

(Or if you’re working on)- Rewrite In Standard Form

Swap 1/2 and 3/8y , so it should be 3/8y=1/2.

Then multiply both sides by 8/3, and that should give you y=4/3.

Then multiply both sides of the equation by 3, and that should give you 3y = 4. And 3y=4 would be your answer.

Hope these helped! :)

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