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Sliva [168]
3 years ago
11

Find the smallest number by which 2592 be multiplied so that the product is a prime factor ​

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

Step-by-step explanation:

2592 = 2×2×2×2×2×3×3×3×3  

now,

√2592 = √2×2×2×2×2×3×3×3×3 = 2×2×3×3√2 = 36√2

as √2 is left so the number 2592 should be multiplied with 2 to get a perfect square.

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Vlad1618 [11]

Given:

Area of rectangle = 15\dfrac{7}{16} sq. feet.

Width of the mirror = 3\dfrac{1}{4} feet.

To find:

Whether it will fit on the wall whose length is 5 foot.

Solution:

We know that, area of a rectangle is

Area=length\times width

\dfrac{Area}{width}=length

Substituting the given values, we get

Length=\dfrac{15\dfrac{7}{16}}{3\dfrac{1}{4}}

Length=\dfrac{\dfrac{15\times 16+7}{16}}{\dfrac{3\times 4+1}{4}}

Length=\dfrac{\dfrac{240+7}{16}}{\dfrac{12+1}{4}}

Length=\dfrac{\dfrac{247}{16}}{\dfrac{13}{4}}

Length=\dfrac{247}{16}\times \dfrac{4}{13}

Length=4.75


So, length of mirror is 4.75 feet which is less than 5 feet.

Therefore, the mirror will fit on the wall.

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