SOUARES AND SQUARE ROOTS
1. Find the square of 101 without doing actual multiplication
Answers
Answered by
2
(101)^2
=(100+1)^2
=(10000+200+1)
=10201
Answered by
17
Answer:
Step-by-step explanation:
We need to find the value of (101)² without doing actual multiplication. Here we go :
⇒ (101)²
It can be written as -
⇒ (100 + 1)²
Now, using identity :
- (a + b)² = a² + 2ab + b²
⇒ (100 + 1)²
⇒ (100)² + 2 * 1 * 100 + (1)²
⇒ 10000 + 200 + 1
⇒ 10201
Hence, the value of (101)² is 10201.
Verification:
⇒ (101)²
⇒ 101 * 101
⇒ 10201
Hence, the answer is 10201.
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