Radicals - Adding and Subtracting (Values and Variables) (Level 5) - Mobius Math

Adding and Subtracting (Values and Variables) (Level 5)

This math topic focuses on simplifying, adding, and subtracting radical expressions involving values and variables, ranging from square roots to cube roots. Each problem provides expressions with various complexity levels and requires practice in dealing with arithmetic operations involving radicals. The topic is part of a broader unit on the introduction to radicals, aimed at enhancing students' algebraic skills with radical expressions.

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

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Radicals - Adding and Subtracting (Values and Variables) Worksheet

Math worksheet on 'Radicals - Adding and Subtracting (Values and Variables) (Level 5)'. Part of a broader unit on 'Radicals - Addition and Subtraction Intro' Learn online: app.mobius.academy/math/units/radicals_addition_and_subtraction_intro/

Simplify, then add or subtract the radical expressions

A LaTex expression showing square root of 176{p to the power of 2 } + square root of 176p{y to the power of 2 } - square root of 99{y to the power of 3 }

A LaTex expression showing psquare root of 11 + 7ysquare root of 13{p to the power of 3 } - 3ysquare root of 14{y to the power of 3 }

A LaTex expression showing psquare root of 13 + 2{y} to the power of 2 square root of 11{p to the power of 2 } - 4{y} to the power of 3 square root of 9y

A LaTex expression showing 4psquare root of 11 + 4ysquare root of 11p - 3ysquare root of 11y

A LaTex expression showing 2{p} to the power of 2 square root of 7 + 5ysquare root of 7{p to the power of 2 } - 3ysquare root of 14y

Simplify, then add or subtract the radical expressions

A LaTex expression showing 3-th root of 189{y to the power of 2 } + 3-th root of 56{c to the power of 4 {y} to the power of 4 } - 3-th root of 189

A LaTex expression showing 33-th root of 7{y to the power of 2 } + 2cy3-th root of 7cy - 33-th root of 7

A LaTex expression showing 3-th root of 8y + 3{c} to the power of 2 {y} to the power of 3 3-th root of 7c{y to the power of 3 } - 23-th root of 10

A LaTex expression showing 43-th root of 4y + 5{c} to the power of 2 y3-th root of 6{c to the power of 2 {y} to the power of 2 } - 63-th root of 3

A LaTex expression showing 43-th root of 10{y to the power of 2 } + 4{c} to the power of 2 {y} to the power of 2 3-th root of 8cy - 63-th root of 3

Simplify, then add or subtract the radical expressions

A LaTex expression showing square root of 75{b to the power of 4 {m} to the power of 3 } - square root of 12b + square root of 12{b to the power of 3 }

A LaTex expression showing 5{b} to the power of 2 msquare root of 3m - 2square root of 3b + 2bsquare root of 3b

A LaTex expression showing 2{b} to the power of 3 {m} to the power of 2 square root of 6{m to the power of 3 } - 5square root of 3b + 2{b} to the power of 2 square root of 6b

A LaTex expression showing 7{b} to the power of 3 {m} to the power of 3 square root of 2m - square root of 4b + 3{b} to the power of 3 square root of 6b

Simplify, then add or subtract the radical expressions

A LaTex expression showing square root of 48{z to the power of 4 b} + square root of 27{z to the power of 2 b} - square root of 12{z to the power of 2 {b} to the power of 3 }

A LaTex expression showing {z} to the power of 4 square root of 2{b to the power of 2 } + zsquare root of 6b - 5{z} to the power of 3 bsquare root of {b to the power of 2 }

A LaTex expression showing 2{z} to the power of 2 square root of 2{b to the power of 3 } + zsquare root of {b to the power of 2 } - 3zbsquare root of {b to the power of 2 }

A LaTex expression showing 4{z} to the power of 2 square root of 3b + 3zsquare root of 3b - 2zbsquare root of 3b

Simplify, then add or subtract the radical expressions

A LaTex expression showing 3-th root of 189 + 3-th root of 56{y to the power of 4 {p} to the power of 3 } - 3-th root of 448{y to the power of 2 {p} to the power of 4 }

A LaTex expression showing 33-th root of 8 + yp3-th root of 5{y to the power of 3 } - 5{p} to the power of 3 3-th root of 10yp

A LaTex expression showing 33-th root of 7 + 2yp3-th root of 7y - 4p3-th root of 7{y to the power of 2 p}

A LaTex expression showing 3-th root of 7 + 4{y} to the power of 3 p3-th root of 6y - 7p3-th root of 6{y to the power of 4 {p} to the power of 3 }

A LaTex expression showing 43-th root of 5 + y{p} to the power of 2 3-th root of 10y - p3-th root of 4yp

Simplify, then add or subtract the radical expressions

A LaTex expression showing square root of 112{x to the power of 2 {b} to the power of 2 } + square root of 28{x to the power of 3 {b} to the power of 4 } - square root of 63x

A LaTex expression showing 4xbsquare root of 7 + 2x{b} to the power of 2 square root of 7x - 3square root of 7x

A LaTex expression showing 5{x} to the power of 2 {b} to the power of 3 square root of 10 + {x} to the power of 2 {b} to the power of 2 square root of 5{x to the power of 2 } - 6square root of 4{x to the power of 2 }

A LaTex expression showing x{b} to the power of 3 square root of 9 + 3{x} to the power of 2 {b} to the power of 4 square root of 9x - 3square root of 5{x to the power of 2 }

A LaTex expression showing square root of 275{x to the power of 2 {m} to the power of 3 } - square root of 176{m to the power of 2 } - square root of 99{x to the power of 3 {m} to the power of 2 }

Simplify, then add or subtract the radical expressions

A LaTex expression showing xmsquare root of 13m - msquare root of 11 - 5x{m} to the power of 3 square root of 8{x to the power of 3 }

A LaTex expression showing 7x{m} to the power of 2 square root of 14m - 5{m} to the power of 3 square root of 13 - 4xmsquare root of 14{x to the power of 2 }

A LaTex expression showing 5xmsquare root of 11m - 4msquare root of 11 - 3xmsquare root of 11x

Radicals - Adding and Subtracting (Values and Variables) (Level 5) - Mobius Math