Your Progress - Chapter 50% complete
1Exercises7 questions
Q.1Find the squares of 12, 15 and 25.v
Answer:
$12^2=144$, $15^2=225$, $25^2=625$.
Q.2Is 2352 a perfect square? Give a reason.v
Answer:
No. A perfect square cannot end in 2.
Q.3Find the least number by which 180 must be multiplied to make it a perfect square.v
Solution
$180=2^2\times3^2\times5$. The factor 5 is unpaired, so multiply by 5.
Answer:
$5$.
Q.4Find the least number by which 180 must be divided to make it a perfect square.v
Solution
Dividing by the unpaired factor 5 gives $36$, a perfect square.
Answer:
$5$.
Q.5Find $\sqrt{1764}$.v
Solution
$42^2=1764$.
Answer:
$42$.
Q.6Find $\sqrt{4096}$.v
Solution
$64^2=4096$.
Answer:
$64$.
Q.7Find a Pythagorean triplet with 6 as one member.v
Solution
$6^2+8^2=36+64=100=10^2$.
Answer:
One triplet is $6,8,10$.