Răspuns:
91 - 48√3 = (8 - 3√3)²
17 - 4√15 = (2√3 - √5)²
Explicație pas cu pas:
91 - 48√3 = 64 - 2 * 8 * 3√3 + 27
= 8² - 48√3 + (3√3)²
= (8 - 3√3)²
17 - 4√15 = 12 - 2*2√3*√5 + 5
= (2√3)² - 4√15 + √5²
= (2√3 - √5)²
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Verified answer
Răspuns:
91 - 48√3 = (8 - 3√3)²
17 - 4√15 = (2√3 - √5)²
Explicație pas cu pas:
91 - 48√3 = 64 - 2 * 8 * 3√3 + 27
= 8² - 48√3 + (3√3)²
= (8 - 3√3)²
17 - 4√15 = 12 - 2*2√3*√5 + 5
= (2√3)² - 4√15 + √5²
= (2√3 - √5)²
8²−48√3+(3√3)²
=(8−3√3)².
17−4√15=12−2*2√3*√5+5=
(2√3)²−4√15+√5²
=(2√3−√5)².