Answer:
1. 8/√2
Multiply the fractions by its denominator (√2/√2)
= 8/√2 • √2/√2
= 8√2/√2√2
= 8√2/2
= 4√2
Alternate form: 5.65685
4. 14/√7
Same step in number 1
= 14/√7 • √7/√7
= 14√7/√7√7
= 14√7/7
= 2√7
Alternate form: 5.2915
6. 1/5-√2
Same step in number 1
= 1/5-√2 • 5-√2/5-√2
= 5+√2/25-2
= 5+√2/23
Alternate form: 0.278879
7. 4/√6+2
Simplify first
= 4/√8
= 4/2√2
= 2/√2
Same process to number 1
= 2/√2 • √2/√2
= 2√2/√2√2
= 2√2/2
= √2
Alternate form: 1.41421
8. 2/√7-√3
Same process in nunber 1 but change the sign from negative into positve
= 2/√7-√3 • √7+√3/√7+√3
= 2(√7+√3)/(√7-√3)(√7+√3)
= 2(√7+√3)/7-3
= 2(√7+√3)/4
Reduce the fraction with 2
= √7+√3/2
Alternate form: 2.1889
Sorry,I don't know how to answer the one who has exponent outside the radical :(
But hope it help :)
