Question

the correct answer to ∛123.7 / √(2&17) is:

Answer 1

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Step-by-step explanation:

(17-12√2+3-2√2) / 3-2√2 is given

by solving, we get

(17-12√2+3-2√2) / 3-2√2 = (20-14√2) / 3-2√2

By rationalising the denominator in (20-14√2) / 3-2√2

= [(20-14√2) / (3-2√2)] × [(3+2√2) / (3+2√2)]

= (20-14√2)(3+2√2) / (3+2√2)(3-2√2) ---- 1

We know that,

(3+2√2)(3-2√2) = 9-8 = 1

placing in 1

= (20-14√2)(3+2√2) / 1

= 60+40√2-42√2-54

= 6-2√2 is the answer