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Radicals - Addition Under Squared Radical Plus Integer to Radical (Level 2)

This math topic focuses on simplifying radicals that involve addition under a squared radical plus an integer. The emphasis is on correct extraction and simplification of square roots combined with basic arithmetic operations to integrate real numbers and radical terms. The problems are structured to practice recognizing and simplifying complicated radical expressions to their simplest forms, leveraging skills that are foundational in algebra and geared towards enhancing understanding of radicals and their properties. Each question presents a radical expression and multiple choice answers to test comprehension and simplification skills.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Addition Under Squared Radical Plus Integer to Radical

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Simplify the radical.

1+75+51 + \sqrt{75 + 5}

Radicals - Addition Under Squared Radical Plus Integer to Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Squared Radical Plus Integer to Radical (Level 2)'. Part of a broader unit on 'Radicals - Simplifying Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Simplify the radical.
A LaTex expression showing 4 + square root of 325 + 123
a A LaTex expression showing 4 + 5square root of 7
b A LaTex expression showing 4 + 7square root of 10
c A LaTex expression showing 4 + 10square root of 7
d A LaTex expression showing 4 + 11square root of 10
e A LaTex expression showing 4 + 8square root of 7
f A LaTex expression showing 4 + 11square root of 8
2
Simplify the radical.
A LaTex expression showing 2 + square root of 384 - 41
a A LaTex expression showing 2 + 7square root of 7
b A LaTex expression showing 2 + 5square root of 9
c A LaTex expression showing 2 + 5square root of 4
d A LaTex expression showing 2 + 7square root of 6
e A LaTex expression showing 2 + 6square root of 7
f A LaTex expression showing 2 + 9square root of 6
3
Simplify the radical.
A LaTex expression showing 4 + square root of 639 - 100
a A LaTex expression showing 4 + 7square root of 10
b A LaTex expression showing 4 + 7square root of 11
c A LaTex expression showing 4 + 4square root of 10
d A LaTex expression showing 4 + 5square root of 14
e A LaTex expression showing 4 + 4square root of 11
f A LaTex expression showing 4 + 4square root of 9
4
Simplify the radical.
A LaTex expression showing 3 + square root of 109 + 38
a A LaTex expression showing 3 + 7square root of 3
b A LaTex expression showing 3 + 9
c A LaTex expression showing 3 + 10square root of 5
d A LaTex expression showing 3 + 6
e A LaTex expression showing 3 + 5
f A LaTex expression showing 3 + 9square root of 2
5
Simplify the radical.
A LaTex expression showing 4 + square root of 1131 - 240
a A LaTex expression showing 4 + 11square root of 9
b A LaTex expression showing 4 + 10square root of 14
c A LaTex expression showing 4 + 9square root of 9
d A LaTex expression showing 4 + 6square root of 14
e A LaTex expression showing 4 + 10square root of 11
f A LaTex expression showing 4 + 9square root of 11
6
Simplify the radical.
A LaTex expression showing 1 + square root of 101 + 24
a A LaTex expression showing 1 + 4square root of 4
b A LaTex expression showing 1 + 5square root of 5
c A LaTex expression showing 1 + square root of 8
d A LaTex expression showing 1 + 3square root of 7
e A LaTex expression showing 1 + 4square root of 7
f A LaTex expression showing 1 + 4
7
Simplify the radical.
A LaTex expression showing 3 + square root of 121 + 4
a A LaTex expression showing 3 + 3square root of 8
b A LaTex expression showing 3 + 5square root of 8
c A LaTex expression showing 3 + 2square root of 2
d A LaTex expression showing 3 + square root of 5
e A LaTex expression showing 3 + 2square root of 5
f A LaTex expression showing 3 + 5square root of 5