benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / The expression √((√(56))(√(126))) can be simplified to a√(b), where a and b are integers and b is not divisible by any perfect square greater than 1. What is a+b?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The expression (56)(126)\sqrt{(\sqrt{56})(\sqrt{126})} can be simplified to aba\sqrt b, where aa and bb are integers and bb is not divisible by any perfect square greater than 1. What is a+ba+b?
Plain-text mathematical notation (without MathML)
The expression √((√(56))(√(126))) can be simplified to a√(b), where a and b are integers and b is not divisible by any perfect square greater than 1. What is a+b?
Original LaTeX notation
The expression $\sqrt{(\sqrt{56})(\sqrt{126})}$ can be simplified to $a\sqrt b$, where $a$ and $b$ are integers and $b$ is not divisible by any perfect square greater than 1. What is $a+b$?

level

Level 5

type

Prealgebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
c3dbecee-ce35-5fcc-905d-acbe654067a3
task_key
prealgebra--test--c3dbecee-ce35-5fcc-905d-acbe654067a3
task_revision_id
1
config / split
prealgebra / test

Official source

initial import