Question 13 of 43intermediate🔧 ApplyNumerical4 marks

Try to evaluate the following using a suitable identity:

(i)

35235^{2}

Answer

1225

(ii)

65265^{2}

Answer

4225

(iii)

85285^{2}

Answer

7225

(iv)

1052105^{2}

Answer

11025

Explanation

To evaluate the squares of numbers ending in 5, we use Śhrīdharāchārya's identity: a² = (a + b)(a - b) + b². By choosing b = 5, the terms (a + b) and (a - b) become multiples of 10, making the multiplication straightforward.

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