Simplification Level 1

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The concepts of Surds and Indices, Mixed fractions, Componendo-Dividendo rule, and Algebraic Identities etc.

Note: Calculator Not allowed

Time Duration: 10 min

Number of Questions: 10

Concept Link: Surds and Indices

Telegram Channel: Logicxonomy

The value of 2×3÷2 of 3×2÷(4+4×4÷4 of 4-4÷4×4) is:

1 point

Clear selection

2/3 of 9/15 ÷(5/4÷5/2×8/25) of (3/4×3/4÷1) is:

1 point

20/9

4/25

18/125

40/9

Clear selection

7,77,77,777÷77 equals

1 point

1111

101001

10101

1010101

Clear selection

If (√x+√y)=15 and (√x-√y)=3 then the value of √(xy)/4 is:

1 point

14.5

13.5

15.5

16.5

Clear selection

If √4096=64, then the value of √40.96+√0.4096+√0.004086+√0.00004096 up to two places of decimals is:

1 point

7.09

7.10

7.11

7.12

Clear selection

Find the value of (3+2√2)ⁿ +(3-2√2)ⁿ, where n=-3?

1 point

189

180

108

198

Clear selection

For x=√(m+2n) & y=√(m-2n), the value of (x+y)/(x-y)=√3 then m:n is equal to?

1 point

2:√3

√3:4

√3:2

4:√3

Clear selection

If x=5+2√6 then find the value of √x+1/√x?

1 point

2√3

3√2

2√6

6√2

Clear selection

If x=4.6⁴+5.4⁴+24.84² & y=4.6²+5.4²+24.84 then x/y is equal to?

1 point

24.42

24.24

25.42

25.48

Clear selection

If (4+3√3)/√(7+4√3) =A+√B then find the value of B-A?

1 point

-13

2√13

3√3-√7

Clear selection

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