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iz'u cSad xf.kr

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4. fuEufyf[<strong>kr</strong> esa izR;sd dks ifjes; gy cukdj fyf[k,AExpress with a rational denominator the following surds:(i) 2 (ii) 2√52 3 √5(iii) 1 (iv) √2√12 √5(v) 2 √7 (vi) 3. 3 √5√113√95. fuEufyf[<strong>kr</strong> esa izR;sd O;tad dk eku n'keyo ds rhu LFkkuksa rd K<strong>kr</strong> dhft,Atcfd fn;k gqvk gks&Find the value to three places of decimals, of each of the following. It is giventhat √2 = 1.414, √3 = 1.732, √10 = 1.732, √10 = 3.162 and √5 = 2.236(approx.):(i) 1 (ii) 1√2√3(iii) 1 (vi) √2 + 1√12√5(v) 2– √3 (vi) √10 – √5√3 √56. ;fn a vkSj b nks ifjes; la[;k,a gSa rks fuEufyf[<strong>kr</strong> lerkvksa esa a vkSj b dk eku K<strong>kr</strong> dhft,AIf both a and b are rational numbers, find the values of a and b in each of the following equalities :(i) √3 - 1 = a +b √3 (ii) √3 + 2 = a +b √2√3 + 1 √3 - 2(iii) 5+2√3 = a +b √3 (iv) 3-√5 = a √5-b7+4√3 3+2√5(iv) √5+√3 = a +b √15 (vi) √2+√3 = a -b√6√5-√33√2-2√37. fuEufyf[<strong>kr</strong> esa ls izR;sd dks] mlds gj dk ifjes;dj.k djds ljy dhft,ASimply each of the following by rationalising the denominator :(i) 5+√6 (ii) √7-√55-√6 √7+√5(iii) 7+3√5 (iv) 2√3 - √57-3√5 2 √2+3√3(29)

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