2Rationalisethe number2

1.	2Rationalisethe number2
Answer» Given16/(root41 - 5)=16(root41+5)/[(root 41 -5)(root41+5)]=[16(root41+5)]/[(root41)^2 -(5)^2]=[16(root41+5)]/(41-25)=16(root41+5]/16=root41+5 Given,16/√41 - 5by rationalizing,16 ×√41 + 5√41 -5 √41 + 5=16(√41 + 5) (41)² - (5)²=16(√41+ 5) 41 - 26=16(√41 +5) 16= √41 +5 16 / V41 - 5 = 16( V41-5)/(V41)^2-(5)^2= 16( V41 -5)/41-25 = 16( V41 - 5)/16= V41 - 5

Answer»

Given16/(root41 - 5)=16(root41+5)/[(root 41 -5)(root41+5)]=[16(root41+5)]/[(root41)^2 -(5)^2]=[16(root41+5)]/(41-25)=16(root41+5]/16=root41+5

Given,16/√41 - 5by rationalizing,16 ×√41 + 5√41 -5 √41 + 5=16(√41 + 5) (41)² - (5)²=16(√41+ 5) 41 - 26=16(√41 +5) 16= √41 +5

16 / V41 - 5 = 16( V41-5)/(V41)^2-(5)^2= 16( V41 -5)/41-25 = 16( V41 - 5)/16= V41 - 5

Discussion