Question

Smplifique os radicais e efetue as operaçoes : a) √2 + √32 b) √27 + √3 c) 3 √5 + √20 d) 2 √2 + √8 e) √27 + 5 √3 f) 2 √7 + √28 g) √50 - 6 √98 h) √12 - 6 √3 i) 8 √5 - √20 j) √20 - √45

Answer 1

a) $\sqrt{2}+ \sqrt{32}= \sqrt{2}+ \sqrt{2^2*2^2*2}= \sqrt{2}+4 \sqrt{2}=5 \sqrt{2}$

b) $\sqrt{27}+ \sqrt{3}= \sqrt{3^2*3}+ \sqrt{3}=3 \sqrt{3}+ \sqrt{3}=4 \sqrt{3}$

c) $3 \sqrt{5}+ \sqrt{20}= 3 \sqrt{5} +4 \sqrt{5}=7 \sqrt{5}$

d) $2 \sqrt{2}+ \sqrt{8}= 4 \sqrt{2}$

e) $\sqrt{27} +5 \sqrt{3} = 8 \sqrt{3}$