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Find the square of the following numbers. 1.482. 563. 854. 3725. 216​

Answer» <html><body><p><strong>Answer:</strong></p><p>I hope you understand</p><p><strong>Step-by-step explanation:</strong></p><p>(i)</p><p></p><p>\left(<a href="https://interviewquestions.tuteehub.com/tag/32-307188" style="font-weight:bold;" target="_blank" title="Click to know more about 32">32</a>\right)^2=\left(<a href="https://interviewquestions.tuteehub.com/tag/30-304807" style="font-weight:bold;" target="_blank" title="Click to know more about 30">30</a>+2\right)^2=\left(30\right)^2+2\times30\times2+\left(2\right)^2(32) </p><p>2</p><p> =(30+2) </p><p>2</p><p> =(30) </p><p>2</p><p> +2×30×2+(2) </p><p>2</p><p> </p><p></p><p>[\because\left(a+b\right)^2=a^2+2ab+b^2∵(a+b) </p><p>2</p><p> =a </p><p>2</p><p> +2ab+b </p><p>2</p><p> ]</p><p></p><p>= 900 + 120 + 4 = 1024</p><p></p><p>(ii) \left(35\right)^2=\left(30+5\right)^2=\left(30\right)^2+2\times30\times5+\left(5\right)^2(35) </p><p>2</p><p> =(30+5) </p><p>2</p><p> =(30) </p><p>2</p><p> +2×30×5+(5) </p><p>2</p><p> </p><p></p><p>[\because\left(a+b\right)^2=a^2+2ab+b^2∵(a+b) </p><p>2</p><p> =a </p><p>2</p><p> +2ab+b </p><p>2</p><p> </p><p></p><p>= 900 + 300 + 25 = 1225</p><p></p><p>(iii) \left(86\right)^2=\left(80+6\right)^2=\left(80\right)^2+2\times80\times6+\left(6\right)^2(86) </p><p>2</p><p> =(80+6) </p><p>2</p><p> =(80) </p><p>2</p><p> +2×80×6+(6) </p><p>2</p><p> </p><p></p><p>[\because\left(a+b\right)^2=a^2+2ab+b^2∵(a+b) </p><p>2</p><p> =a </p><p>2</p><p> +2ab+b </p><p>2</p><p> </p><p></p><p>= 8100 + 540 + 9 = 8649</p><p></p><p>(iv) \left(93\right)^2=\left(90+3\right)^2=\left(90\right)^2+2\times90\times3+\left(3\right)^2(93) </p><p>2</p><p> =(90+3) </p><p>2</p><p> =(90) </p><p>2</p><p> +2×90×3+(3) </p><p>2</p><p> </p><p></p><p>[\because\left(a+b\right)^2=a^2+2ab+b^2∵(a+b) </p><p>2</p><p> =a </p><p>2</p><p> +2ab+b </p><p>2</p><p> ]</p><p></p><p>= 8100 + 540 + 9 = 8649</p><p></p><p>(<a href="https://interviewquestions.tuteehub.com/tag/v-722631" style="font-weight:bold;" target="_blank" title="Click to know more about V">V</a>) \left(<a href="https://interviewquestions.tuteehub.com/tag/71-334184" style="font-weight:bold;" target="_blank" title="Click to know more about 71">71</a>\right)^2=\left(70+1\right)^2=\left(70\right)^2+2\times70\times1+\left(1\right)^2(71) </p><p>2</p><p> =(70+1) </p><p>2</p><p> =(70) </p><p>2</p><p> +2×70×1+(1) </p><p>2</p><p> </p><p></p><p>[\because\left(a+b\right)^2=a^2+2ab+b^2∵(a+b) </p><p>2</p><p> =a </p><p>2</p><p> +2ab+b </p><p>2</p><p> </p><p></p><p>= 4900 + 140 + 1 = 5041</p><p></p><p>(<a href="https://interviewquestions.tuteehub.com/tag/vi-723586" style="font-weight:bold;" target="_blank" title="Click to know more about VI">VI</a>) \left(46\right)^2=\left(40+6\right)^2=\left(40\right)^2+2\times40\times6+\left(6\right)^2(46) </p><p>2</p><p> =(40+6) </p><p>2</p><p> =(40) </p><p>2</p><p> +2×40×6+(6) </p><p>2</p><p> </p><p></p><p>[\because\left(a+b\right)^2=a^2+2ab+b^2∵(a+b) </p><p>2</p><p> =a </p><p>2</p><p> +2ab+b </p><p>2</p><p> ]</p><p></p><p>= 1600 + 480 + 36 = 2116</p></body></html>


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