Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Square Roots and Cube Roots

Multiple Choice Questions

31.

By what least number should 675 be multiplied so as to obtain a perfect cube number?

64 Views

32.

The square root of 0.09 is

0.30
0.03
0.81
0.081

69 Views

33.

$cube root of 1 minus 127 over 343 end root$ is equal to

$5 over 9$
$1 minus 1 over 7$
$4 over 7$
$1 minus 2 over 7$

34 Views

34.

The square root of $open parentheses fraction numerator square root of 3 space plus space square root of 2 over denominator square root of 3 space minus space square root of 2 end fraction close parentheses$ is

$square root of 3 space plus space square root of 2$
$square root of 3 space minus space square root of 2$
$square root of 2 space plus-or-minus space square root of 3$
$square root of 2 minus square root of 3$

31 Views

35.

The value of
$fraction numerator 3 square root of 2 over denominator square root of 3 space plus space square root of 6 end fraction space minus space fraction numerator 4 square root of 3 over denominator square root of 6 space end root begin display style plus end style begin display style square root of 2 end style end fraction space plus space fraction numerator square root of 6 over denominator square root of 3 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 2 end style end fraction$ is

4
0
$square root of 2$
$3 square root of 6$

33 Views

36.
$square root of 6 plus square root of 6 plus square root of 6 plus... end root end root end root space equals space ?$

2.3

3

6

6.3

Shortcut Method:
Find out two coprime numbers i.e whose HCF is 1.
for ex. (3, 2) are coprime factors of 6.
In case of (+) symbol followed in the question, the large co-prime factor required answer i.e. 3.

37 Views

37.

If $square root of 2 space equals space 1.4142 comma$ find the value of $2 square root of 2 space plus space square root of 2 space plus space fraction numerator 1 over denominator 2 plus square root of 2 end fraction space plus space fraction numerator 1 over denominator square root of 2 minus 2 end fraction$

1.4144
2.8284
28.284
2.4142

34 Views

38.

If $straight x space equals space square root of fraction numerator square root of 5 space plus space 1 over denominator square root of 5 minus 1 end fraction end root space then comma$ the value of 5x² - 5x - 1 is

34 Views

39.

If $square root of 1 plus straight x over 961 end root space equals space 32 over 31$ , then the value of x is

31 Views

40.

The simplest value of $fraction numerator 1 over denominator square root of 2 space plus space square root of 3 end fraction space plus space fraction numerator 1 over denominator square root of 3 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 4 end style end fraction space plus space fraction numerator 1 over denominator square root of 4 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 5 end style end fraction space plus space fraction numerator 1 over denominator square root of 5 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 6 end style end fraction$ is

$square root of 3 space left parenthesis square root of 2 minus 1 right parenthesis$
$square root of 2 left parenthesis square root of 3 minus 1 right parenthesis$
$square root of 3 minus 1$
$square root of 2 minus 1$