The smallest possible square number which is divisible by 10, 12, 15, 18 is ?
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Solution
LCM of (10, 12, 15, 18) = 180 = 22 × 32 × 5.
to make it a square it should be multiplied by 5
required number = (22 × 32 × 52) = (180 × 5) = 900
What will be square root of ?
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Solution
⇒
= 49 – 45
= 4
So
The square root of a number is double of cube root to the same number, then what will be the number ?
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Solution
n1/2 = 2 n1/3 ⇔ ⇔
n = 26 = 64
If p = 999, then
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Solution
= {p3+3p2 + 3p + 1}1/3 = [(p + 1)3]1/3
= p + 1 = 999 + 1 = 1000
The value of is :
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Solution
= ?
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Solution
=
= 2.8+0.28+0.028+0.0028=3.1108
A gardener plants 17956 trees in such a way that there are as many lines as number of trees in each line. What is the number of trees in each line ?
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Solution
Let, the number of rows is x.
∴ Number of trees = x
So, according to question,
x × x = 17956
⇒ x2 = 17956
⇒ x = 134
The value of is
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Solution
Let y =
Square both sides,
⇒
⇒ y2 = 6 + y
⇒ y2 – y – 6 = 0
⇒ y2 – 3y + 2y – 6 = 0
⇒ (y – 3) (y + 2) = 0
⇒ y = 3, – 2
A number is 64 times the square of its reciprocal. The number is
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Solution
x = 64 ×
x3 = 64 = 4 × 4 × 4 ⇒ x = 4
If and ab = 16, then possible value of a will be ?
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Solution
Given ⇒ a + b = 17, ab = 16
So, a – b =
a – b =
a – b = 15
So, a = 16, b = 1