2√20 - 3√7 - 2√5 + 4√63 = 2√(4 x 5) - 3√7 - 2√5 + 4√(9 x 7) = 4√5 - 2√5 - 3√7 + 12√7 = 2√5 + 9√7
2√5
sqrt(2000) = 20*sqrt(5)
Expressed as a surd in its simplest form, 5 sqrt(20) = 10 sqrt(5).
sqrt(3) x sqrt(15) = sqrt( 3 x 15 ) = sqrt( 45 ) = sqrt( 9 x 5 ) = 3 sqrt(5)
Here is an example, radical 20 plus radical 5. Now radical 20 is 2(radical 5) so we can add radical 5 and 2 radical 5 and we have 3 radical 5.
2√20 - 3√7 - 2√5 + 4√63 = 2√(4 x 5) - 3√7 - 2√5 + 4√(9 x 7) = 4√5 - 2√5 - 3√7 + 12√7 = 2√5 + 9√7
2√5
√20 + 2√45 - √8020 = 2 x 2 x 5 = 22 x 5, so √20 is 2√545 = 3 x 3 x 5 = 32 x 5 so √45 = 3√580 = 4 x 4 x 5 = 42 x 5, so √80 is 4√5:After simplifying each radical:2√5 + 2(3√5) - 4√52√5 + 6√5 - 4√5Combine like terms:(2+6-4)√54√5
Sqrt(20) = sqrt(5)*sqrt(4) = 2*sqrt(5)
2√5
√245 = √(49 x 5) = √49 x √5 = 7√5
20
sqrt(10 x 8) = sqrt(80) = sqrt(16 x 5) = 4 sqrt(5)= roughly 8.9443 (rounded)
sqrt(2000) = 20*sqrt(5)
Expressed as a surd in its simplest form, 5 sqrt(20) = 10 sqrt(5).
sqrt(3) x sqrt(15) = sqrt( 3 x 15 ) = sqrt( 45 ) = sqrt( 9 x 5 ) = 3 sqrt(5)