Answer: 15√2

Explanation:
Simplify 3√18 + 2√8 + 3√32 - 2√50
= 3√3×3×2 + 2√2×2×2 + 3√4×4×2 - 2√5×5×2
= 9√2 + 4√2 + 12√2 - 10√2 = 15√2

Answer:  abdc

Explanation:
Given a = √13 + √11, b = √15 + √9 , c = √18 + √6 and d = √7 + √17
In the given surds, the sum of the terms of each of the surds is the same at 24. Then the surd containing the terms as far as possible is the smallest
=> a > b > d > c

Answer: acdb

Explanation:

Answer: - √7 – 2

Explanation:
the conjugate of a mixed quadratic surd is retained by changing the
sign of the irrational term.
=>The conjugate of √7 – 2 is - √7 – 2

Answer: √60 and √2 

Explanation:
Let √(62 + √480) = √a + √b
=>Squaring both sides,
=> 62 + √480 = a+b +2√ab
=> 62 + √480 = a+b+√4ab
=> Equating the corresponding rational and irrational parts on both sides,
=> a+b = 62
=> 4ab = 480
=> ab = 120
=> As a+b = 60 + 2 and ab = (60) (2) it follows that
=> A = 60 and b = 2

Answer: 6.25 

Explanation:

Answer: 2

Explanation:

Answer: 22.5

Explanation:
a m .a n =a m+n
5 x ×2 3 =36 ⇒5 x =36 2 3 5 (x+1) =5 x ×5=36 2 3 ×5=36×5 2×2×2 =9×5 2 =22.5   

Answer: -2

Explanation:

Answer: 8

Explanation:
36 × 36 × 36 × 36 = 62 × 62 × 62 × 62 = 6(2+2+2+2) = 68