Verified answer

√50 + √20

√50 = √25*2

=5√2

√20 = √4*5

=2√5

add 5√2 + 2√5

answer c

√50 + √20

= √ 25 * √ 2 + √ 4 * √ 5

= 5 * √ 2 + 2 * √ 5

= 5 √ 2 + 2 √ 5

= 5 + 2 √ 2 * 5

= 7 √ 10

(a)

sqrt(50) = sqrt(25)*sqrt(2)

= 5*sqrt(2)

sqrt(20) = sqrt(4)*sqrt(5)

= 2 * sqrt(5)

ans: 5*sqrt(2) + 2*sqrt(5)

(b)

10*sqrt(10) is in simplest (reduced) form

However

sqrt(100)*sqrt(10)

= sqrt(1000)

(c)

This is in simplest form

However sqrt(72) + sqrt(50)

= sqrt(36)*sqrt(2) + sqrt(25)*sqrt(2)

= 6*sqrt(2) + 5*sqrt(2)

= 11*sqrt(2)

Shows how radicals might be simplified if they meet certain conditions.