Answer:
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Step-by-step explanation:
Answer:
396 is the value of 100^2 - 98^2100
2
−98
2
.
Step-by-step explanation:
Explanation:
Given, 100^2 - 98^2100
2
−98
2
According to the question we need to find the value of 100^2 - 98^2100
2
−98
2
by the help of properties of square and square roots
Properties of square and square roots
Only a perfect square number can have a perfect square root.
Even perfect squares have an even square root.
At their unit location, square numerals always conclude with the digits 0, 1, 4, 5, 6, or 9.
There will be an odd square root for an odd perfect square.
Step 1:
We have, 100^2 - 98^2100
2
−98
2
.
⇒100^2 - 98^2100
2
−98
2
As we know, when a number is multiplied by itself, the result is a square number.
For instance, 25 is a square number since it is composed of 5 lots of 5, or 5 × 5.
So, 100^2 - 98^2100
2
−98
2
can be written as,
⇒ 100× 100 - 98× 98
⇒10000 - 9604
⇒396
Final answer:
Hence,the value of 100^2 - 98^2100
2
−98
2
is 396.
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