Question

Simplify these radicals (ASAP!!!)

Answer 1

`3.\quad 2√(7)\\\\4.\quad (2)/(√(5))`

`5.\quad (1)/(√(2))`

`6.\quad(5)/(7)`

Explanation:

To simplify radicals find the factors and simplify the square roots of the factors

#3 : √28

28 = 4 x 7

√28 = √(4 x 7) = √4 x √7 = 2 x √7 = 2√7

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`\#4:\quad \sqrt{ (4)/(5)}\\\\\sqrt{ (4)/(5)} = (√(4))/(√(5)) = (2)/(√(5))`

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`\#5\quad (3)/(√(18))\\\text{Denominator } √(18 )= √(9 * 2) = 3√(2)\\\\ (3)/(√(18))= (3)/(3√(2)) = (1)/(√(2))`

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`\# 6 \quad \sqrt{(25)/(49)}\\\\√(25) = 5\\\\\\√(49) = 7\\\\`

`\sqrt{(25)/(49)}= (5)/(7)`