Squareroots & Cuberoots Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

$(13)^2 - (5)^2 - √676 +7 = (?)^2$

a) 20

b) 10

c) $√5$

d) $(25)^2$

e) 5

Question : 2

The hypotenuse of an isosceles right angled triangular field has a length of $30√2$ m, the length of other side is

a) 30 m

b) $30√2$

c) 25 m

d) None of these

Answer: (a)

$(30√2)^2=a^2+a^2$

1800=$2a^2$

$a^2$=900

a = 30m

Question : 3

$(13)^2 - (4)^3$ - $√{676}$ + 2 = $(?)^2$

a) 9

b) 3

c) 81

d) 27

e) 18

Question : 4

$√{12 × 145 ÷ 6 + 34}$ = ?

a) $(324)^2$

b) – 18

c) 18

d) $√18$

e) None of these

Question : 5

The smallest number by which 3888 must be divided so that the resulting number is a perfect square is

a) 6

b) 2

c) 3

d) None of these.

Question : 6

$√54 × √2120 ÷ √460$ = ?

a) 140

b) 120

c) 160

d) 180

e) 200