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Liula [17]
2 years ago
11

For Which Value of P and W is P+W a rational number. Tell me how you got that answer

Mathematics
2 answers:
Ymorist [56]2 years ago
6 0
300.02 if you use the square root of 72
vladimir2022 [97]2 years ago
5 0

Answer:

Option 2 - P=1/ square root of 4 and W=1/square root of 9                                  

Step-by-step explanation:

To find : For Which Value of P and W is P+W a rational number ?

Solution :

Solving each expression,

1) P= 1/ square root of 3 and W=1/square root of 6

i.e. P=\frac{1}{\sqrt{3}} and W=\frac{1}{\sqrt{6}}

P+W=\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{6}}

P+W=\frac{\sqrt2+1}{\sqrt{6}}

P+W=0.985598559...

It is an irrational number.

2) P=1/ square root of 4 and W=1/square root of 9

i.e. P=\frac{1}{\sqrt{4}} and W=\frac{1}{\sqrt{9}}

P+W=\frac{1}{\sqrt{4}}+\frac{1}{\sqrt{9}}

P+W=\frac{1}{2}+\frac{1}{3}

P+W=\frac{5}{6}

P+W=0.833333.....

It is a rational number as repeating decimal.

3) P=1/square root of 6 and W=1/square root of 10

i.e. P=\frac{1}{\sqrt{6}} and W=\frac{1}{\sqrt{10}}

P+W=\frac{1}{\sqrt{6}}+\frac{1}{\sqrt{10}}

P+W=\frac{\sqrt5+\sqrt3}{\sqrt{30}}

P+W=0.724476056.....

It is an irrational number.

4) P=1/square root of 25 and W=1/square root of 2

i.e. P=\frac{1}{\sqrt{25}} and W=\frac{1}{\sqrt{2}}

P+W=\frac{1}{5}+\frac{1}{\sqrt{2}}

P+W=\frac{\sqrt2+5}{5\sqrt{2}}

P+W=0.9071067811.....

It is an irrational number.

Therefore, Option 2 is correct.

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