1.

Find the smallest number to multiply with 150 to make it a perfect square

Answer» \textbf{Explaination :}
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“LOOK at the number 150. It is not a perfect square because it has a single zero in it's unit digit.”

“According to the QUESTION, as the number 150 is not a perfect square. Inorder to make it a perfect square we need to multiply it with a certain number to convert it into a perfect square”

\textbf{Solution :}
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\textbf{Note :} We are doing it by prime factorisation method.

“So, we need to FIND the prime factors of 150”

Prime Factors of 150
= 5 × 5 × 2 × 3

“Have a look at the factors, we need to pair them out. So, only 5 is in pair but 2 and 3 are not in pair. So, we will take them in the next step.”

Smallest number to be multiplied
= 2 × 3
= 6

Perfect Sq.

= \sqrt{ 150 \times 6 }= \sqrt{5 \times 5 \times 2 \times 3 \times 6} \\ \\ = \sqrt{900} \: \: \: \: \: \: \: \: = \sqrt{5 \times 5 \times 6 \times 6} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5 \times 6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 30

•°• The perfect sq. is 900

\sqrt{900} = 30

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\boxed{Hope\:it\:helps\:you!}
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★ Be Brainly ★


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