Selesaikan bentuk operasi penjumlahan akar berikut!

a. √8 + √18 + √32

b. √98 + √50 + √72

c.√108 + √27 + √75

A) √8+√18+√32

First factorize each radical term and then simplify.

√8=√2x2x2 = √2 x √2² = 2√2

√18=√2x3x3 = √2 x √3² = 3√2

and

√32=√2x4x4=√2x√4² = 4√2

We get

2√2+3√2+4√2

Add similar terms.

=> (2+3+4) √2

=9√2

Answer: 9√2

b)

√98+√50+√72

Factorize each term and then simplify.

√98 = √2x7x7 = √2 x √7² = 7√2

√50 = √2x5x5 = √2 x √5² = 5√2

and

√72=√2x2x2x3x3 = √2² x √3² x √2 = 2x3 √2=6√2

we get

7√2 + 5√2 + 6√2

Add like terms

(7+5+6) √2

= 18√2

Answer: 18√2

c)

√108 + √27 + √75

Factorize each term and simplify.

√108 = √2x2x3x3x3 = √2² x √3² x √3 = 2 x 3 x √3 = 6√3

√27 = √3x3x3 = √3² x √3 = 3√3

and

√75=√3x5x5 = √5² x √3 = 5√3

We get

6√3 + 3√3 + 5√3

Add like terms

(6+3+5) √3

=14√3

Answer: 14√3