SOLUTION: simplify the square root of 20 power 5 minus 1 power the square root of 5

Question 87854: simplify the square root of 20 power 5 minus 1 power the square root of 5
Found 3 solutions by jayanthihemkos@yahoo.com, malakumar_kos@yahoo.com, madhujiithcharu@yahoo.co.in:
Answer by jayanthihemkos@yahoo.com(87)   (Show Source): You can put this solution on YOUR website!
simplify the square root of 20 over 5 minus 1 over the square root of 5
sq root of 20/5 - 1/sq root of 5
here the LCD= 5 sqr root of 5
sqr root of 20*sqr root of 5 -1*5/5 sqr root of 5
sqr root of 4*5*sqr root of 5-1*5/5 sqr root of 5
2*5-5/5 sqr root of 5

10-5/ 5 sqr root of 5
5/5 sqr root of 5
1/sqr root of 5

Answer by malakumar_kos@yahoo.com(315)   (Show Source): You can put this solution on YOUR website!

simplify the square root of 20 over 5 minus 1 over the square root of 5
sq.rt 20 over5-1/sq.rt 5 , sq.rt 20 = 2.sq.rt 5
2.sq.rt 5/sq.rt 5.sq.rt 5-1/sq.rt 5
2/sq.rt 5-1/sq.rt 5 = 1/sq.rt 5 = 1.sq.rt 5/sq.rt 5.sq.rt 5
= sq.rt 5/5.
Answer by madhujiithcharu@yahoo.co.in(28)   (Show Source): You can put this solution on YOUR website!
\/20 ^5 - 1 ^ \/5 = (2\/5 )^5 - 1
= 32 ( 5)^5/2 - 1
= 32 (5^5)^1/2 -1
= 32 (5^4 x 5)^1/2 - 1
= 32 x 25 x \/5 - 1
= 1759 approx.
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