Find the smallest whole number by which 1536 should be multiplied to het a perfect square number. Also find the square root 0f the number obtained. If you know the correct answer then only answer my question.
Answers
Answer:
For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:
Step-by-step explanation:
Ncert solutions
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Mathematics
Science
Chapters in NCERT Solutions - Mathematics , Class 8
Exercises in Squares and Square Roots
Question 9
Q5) For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:
(i) 252 (ii) 180
(iii) 1008 (iv) 2028
(v) 1458 (vi) 768
Solution
Transcript
Solution:
(i) 252 = 2 x 2 x 3 x 3 x 7
Here, prime factor 7 has no pair. Therefore 252 must be multiplied by 7 to make it a perfect square.
\therefore252\times7=1764∴252×7=1764
And (i) \sqrt{1764}=2\times3\times7=42
1764
=2×3×7=42
(ii) 180 = 2 x 2 x 3 x 3 x 5