Question

4√3+5√2/√48+ √18 =a+b√6​

Answer 1

Answer:

a = 4√3

b = 5/12 + √3

Step-by-step explanation:

we have,

4√3 + (5×√2/√48) + √18 = a+b√6

⇒ 4√3 + [(5×√2)/(4√3)] + √18 = a+b√6

⇒ 4√3 + [(5×√2×√3)/(4√3×√3)] + √3×√6 = a+b√6

⇒ 4√3 + [5√6 / 12 ] + √3×√6 = a+b√6

⇒ 4√3 +( 5/12 + √3 ) √6 = a+b√6

on comparing like terms,

a = 4√3

b = 5/12 + √3

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