Math, asked by srishti2612, 1 year ago

SOUARES AND SQUARE ROOTS
1. Find the square of 101 without doing actual multiplication​

Answers

Answered by Oindrila14
2

(101)^2

=(100+1)^2

=(10000+200+1)

=10201

Answered by LovelyG
17

Answer:

\large{\underline{\boxed{\sf (101)^2 = 10201}}}

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.

\rule{300}{2}

Verification:

⇒ (101)²

⇒ 101 * 101

⇒ 10201

Hence, the answer is 10201.

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