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Square Roots And Cube Roots

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Question

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$fraction numerator 1 over denominator cube root of 4 plus cube root of 2 plus 1 end fraction$ is equal to
$cube root of 2 plus 1$
$cube root of 2 minus 1$
$negative cube root of 2 minus 1$
$1 minus cube root of 2$

Solution

B.

cube root of 2 minus 1

Expression:
$fraction numerator 1 over denominator 2 to the power of begin display style 2 over 3 end style end exponent space plus space 2 to the power of begin display style 1 third end style end exponent space plus space 1 end fraction$
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Question

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$square root of 12 plus square root of 12 plus square root of 12 plus.... end root end root end root$ is equal to

2

3

4

6

Solution

C.

4

Shortcut Method:
Co-prime factors of 12 = (4, 3) as plus sign is followed in the question therefore, larger coprime factor i.e. 4 will be the correct answer.

Question

Wired Faculty App

$square root of 64009$ is equal to

352

523

253

532

Solution

C.

253

Question

Wired Faculty App

$2 cube root of 40 space minus space 4 cube root of 320 space plus space 3 cube root of 625 space minus space 3 cube root of 5$ is equal to
$negative 2 cube root of 340$

0

$cube root of 340$
$cube root of 660$

Solution

B.

0

2. cube root of 40 space equals space 2. space cube root of 2 space cross times space 2 space cross times space 2 space cross times space 5 end root space equals space 4 cube root of 5

4. cube root of 320

space equals space 4. space cube root of 2 cross times 2 cross times 2 cross times 2 cross times 2 cross times 2 cross times 5 end root space equals space 16. space cube root of 5

equals space 3. space cube root of 625

equals space 3. space cube root of 5 space cross times space 5 space cross times space 5 space cross times space 5 end root space equals space 15. space cube root of 5

∴ Expression

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Question

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$cube root of left parenthesis 13.608 right parenthesis squared space minus space left parenthesis 13.392 right parenthesis squared end root$ is equal to

0.6

0.06

1.8

2.6

Solution

C.

1.8

Expression
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