Question

find the smallest number by which 2450 must be divided such that the question is a perfect square also find the square root of the question

Answer 1

ANSWER:

SMALLEST NUMBER TO BE MULTIPLY = 2

SQUARE ROOT OF THE NEW NUMBER= 70

GIVEN:

Number = 2450

TO FIND:

Smallest number by which 2450 be multiplied so that is perfect square.

SOLUTION:

Firstly;. we have to find the prime factorisation of 2450. We get;

$2450 = (5 \times 5) \times (7 \times 7) \times 2$

Here we see that 2 is not in pair. So we multiply 2450 by 2.

so we get a perfect square .

$2450 \times 2 = 4900$

So Square root of 4900 is as follows:

$\sqrt{4900} = \sqrt{5 \times 5 \times 7 \times 7 \times 2 \times 2} \\ \sqrt{4900} = \sqrt{(5 \times 5) \times (2 \times 2) \times (7 \times 7)} \\ \sqrt{4900} = 5 \times 2 \times 7 \\ \sqrt{4900} =70$

So in this way we can find the smallest number which can be multiplied by the given number to get a perfect square.

NOTE:

• Only multiply the number which is not in pair to make them a perfect square.
• After multiplying than we will find the square root of the new number.

Answer 2

Answer:

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Step-by-step explanation:

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