Question

find least number which should be
Subtracted from 150 to make it
perfect Square
​

Answer 1

Answer:

What least no should be subtracted to make 175 a perfect square?

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Umesh Patel

Answered 1 year ago

First of all we have to start with continue subtraction.

So the number is 175

175 - 1 = 174

174 - 3 = 171

171 - 5 = 166

166 - 7 = 159

159 - 9 = 150

150 - 11 = 139

139 - 13 = 126

126 - 15 = 111

111 - 17 = 94

94 - 19 = 75

75 - 21 = 54

54 - 23 = 31

31 - 25 = 6

6 - 27 = X

So, 6 is subtracted from 175

175 - 6

169.

169 - 1 is 168

168 - 3 is 165

165 - 5 is 160

160 - 7 is 153

153 - 9 is 144

144 - 11 is 133

133 - 13 is 120

120 - 15 is 105

105 - 17 is 87

87 - 19 is 68

68 - 21 is 47

47 - 23 is 25

25 - 25 is 0.

So means 13 is the root of 169.

Correct answer is 6 should be subtracted.

Answer 2

Step-by-step explanation:

${12}^{2} = 12 \times 12 = 144 \\ {13}^{2} = 13 \times 13 = 169 \\ \\ {12}^{2} < 150 < {13}^{2} \\ \\ To \: \: make \: \: a \: \: perfect \: \: Square, \\ we \: \: should \: \: Subtract \: \: 6 \: \: from \: \: 150 \\ \\ 150 - 6 = 144 \: ( {12}^{2} )$