Question

8
4. Solve the following questions.
a) Find the square root of 11,025 using the prime factorisation method.
b) Verify whether 7, 24, and 25 form a Pythagorean triplet.
c) Show that 384 is not a perfect cube.
d) Find the value of k if
(125/27)×(125/27)k=(5/3)18


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Answer 1

Answer:

a) 105

b) Yes

Step-by-step explanation:

a) √(11,025)

Prime factors of 11,025 = 3 x 3 x 5 x 5 x 7 x 7=3^2*5^2*7^2= 105^2

The answer is 105

b)Yes, 7, 24, 25 is a Pythagorean Triple .

Use the formula a^2+b^2 = c^2

c) The prime factors of 384 : 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3, No correct pairing can be done. Therefore 384 is not a perfect cube.

I coudn't Find (d) Sorry.

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