2√45 ÷ 28√27
please answer the best one step by step will be the brainliest and 25 points
Answers
Answer: √15/42
Step-by-step explanation:
2√45 / 28√27
=> √45/ 14√27 (because 28 in denominator is cancelled by 2 in numerator,leaves 14)
=> √3 x 3 x5 / 14√ 3 x 3 x 3
=> 3√5 / 14 x 3√3
=> √5 / 14√3 ( 3 in numerator is cancelled by 3 in denominator,leaves 1)
we know that,when there is an irrational number like √3,√5,√7.... in denominator, we have to rationalise it by multiplying with opposite signs of the equation in denominator in both numerator and denominator(if its in form of a+√b then we will multiply the numerator and denominator with a-√b and vice-versa) but here its in form of a√b (i.e, 14√3) in denominator, so we will multiply the same a√b in denominator, in both numerator and denominator.
√5 / 14√3
=> √5/ 14√3 x 14√3 / 14√3
=> 14 √(5 x 3) / 196 x √(3 x 3)
=>14 √15 / 196 x 3
=>14√15 / 588
=>√15/42
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