Soal dan Jawaban Matematika Kelas 10 Halaman 21 Kurikulum Merdeka, Sederhanakan Bentuk Akar

= 15x2 6√x5x

c. (p5q-10/p5q-4)½ (p¼q-½/p-½q-½)½

Jawaban:

(p5q-10/p5q-4)½ (p¼q-½/p-½q-½)½ = (p(5.1/2) q-10.1/2 / p(5.1/2) q-4.1/2) (p(1/4.1/2) q(-1/2.1/2) / p(-1/2.1/2) q(-1/2.1/2))

= (p5/2q-5/p5/2q-2) (p1/8q-1/4/p-1/4q-1/4)

= (p5/2-5/2q-5-(-2)) (p1/8-(-1/4)q-1/4-(-1/4))

= (p0q-3) (p(1+2)/8q0)

= (1.q-3) (p3/8.1)

= p3/8/q3

= 8√p3/q3

2. Rasionalkan bentuk berikut ini.

a. 2/4√b3

Jawaban:

2/4√b3 = 2/4√b3 x 4√b/4√b

= 24√b/4√b4

= 24√b/b