This math topic focuses on polynomial algebra and involves computing the sum of a squared integer and two successive integers under a square root, without using a calculator. Specifically, it deals with expressions like \( \sqrt{x}^2 + x + (x+1) \), testing the ability to simplify and evaluate quadratic expressions. This is part of an advanced study of polynomials and quadratics, aimed at developing deeper algebraic skills. Each problem presents a specific integer value for evaluation along with multiple choice answers.

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Polynomial Algebra X plus 1 Squared - Integers under Square Root - Solve Worksheet

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Polynomial Algebra X plus 1 Squared - Integers under Square Root - Solve
1
Find the value of this expression without using a calculator
A LaTex expression showing square root of 144 to the power of 2 + 144 + 145
a
144
b
145
c
143
d
146
2
Find the value of this expression without using a calculator
A LaTex expression showing square root of 147 to the power of 2 + 147 + 148
a
148
b
147
c
149
d
146
3
Find the value of this expression without using a calculator
A LaTex expression showing square root of 208 to the power of 2 + 208 + 209
a
207
b
209
c
208
d
210
4
Find the value of this expression without using a calculator
A LaTex expression showing square root of 137 to the power of 2 + 137 + 138
a
136
b
137
c
138
d
139
5
Find the value of this expression without using a calculator
A LaTex expression showing square root of 223 to the power of 2 + 223 + 224
a
223
b
224
c
225
d
222
6
Find the value of this expression without using a calculator
A LaTex expression showing square root of 142 to the power of 2 + 142 + 143
a
144
b
142
c
141
d
143
7
Find the value of this expression without using a calculator
A LaTex expression showing square root of 129 to the power of 2 + 129 + 130
a
130
b
131
c
128
d
129
8
Find the value of this expression without using a calculator
A LaTex expression showing square root of 197 to the power of 2 + 197 + 198
a
196
b
199
c
197
d
198