Sederhanakan bentuk akar berikut

By Admin ReiPosted on December 2, 2022

$sqrt{128}$
$sqrt{72}$
$sqrt{147}$
$sqrt{180}$

$sqrt{80}$

Sederhanakan bentuk akar berikut

Jawab:

Penjelasan dengan langkah-langkah:

1. $sqrt{128}$ , 128 = $2^{7}$

= $sqrt{2^{7}}$

= $sqrt{2^{6}.2}$

= $sqrt{2^{6}}sqrt{2}$

= $2^{3} sqrt{2}$

= $8sqrt{2}$

2. $sqrt{72}$ , 72 = $2^{3}.3^{2}$

= $sqrt{2^{3}.3^{2}}$

= $sqrt{2^{2}.3^{2}.2}$

= $sqrt{2^{2} }sqrt{3^{2} } sqrt{2}$

= $2.3sqrt{2}$

= $6sqrt{2}$

3. $sqrt{147}$ , 147 = $3.7^{2}$

= $sqrt{7^{2}.3}$

= $sqrt{7^{2} }sqrt{3}$

= $7sqrt{3}$

4. $sqrt{180}$ , 180 = $2^{2}.3^{2}.5$

= $sqrt{2^{2}.3^{2}.5}$

= $sqrt{2^{2} }sqrt{3^{2} } sqrt{5}$

= $2.3sqrt{5}$

= $6sqrt{5}$

5. $sqrt{80}$ , 80 = $2^{4}.5$

= $sqrt{2^{4} }sqrt{5}$

= $2^{2}sqrt{5}$

= $4sqrt{5}$