[rationalizing denominators][section 62]
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(1.) 3/√5 here is the problem
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= (3/√5)(√5/√5) multiply by √5/√5
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= (3√5)/5 multiply, cancel
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(2.) 2/√3 here is the problem
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= (2/√3)/(√3/√3) multiply by (√3/√3)
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= (2√3)/3 multiply, cancel
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(3.) √8/√3
here is the problem
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= (√4√2)/(√3) factor the top
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= (2√2)/(√3)
take square root
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= (2√2/√3)*(√3/√3)
multiply by (√3/√3)
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= (2√6)/3 multiply and cancel
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(4.) 3√3/√2
here is the problem
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=
(3√3/√2)(√2/√2) multiply by (√2/√2)
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= 3√6/2 multiply
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(5.) 2√7
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5√3 here is the problem
=
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(6.) 5√3
____ here is the problem
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√18
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= 5/√6 reduce
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=
(5/√6)(√6/√6) multiply by (√6/√6)
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= 5√6/6 multiply
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(7.) 4/√a here is the problem
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= (4/√a)(√a/√a) multiply by (√a/√a)
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= 4√a/a multiply
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(8.) √3/b3 here is the problem
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= √3/b3
* √b/b multiply by √b/b
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= √3b/b2
multiply, take square root of
b4
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(9.) √b3d4/√bd
here is the problem
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= √b2d3
divide, cancel
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(10.) √24b3/√6b
here is the problem
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= √4b2
divide, subtract
exponents
= 2b take square root